To solve for x, we need to isolate the variable x.
Dividing both sides of the equation by -5 gives:
-5x / -5 = -30 / -5
This simplifies to:
x = 6
Therefore, x = 6.
Solve for x.
-5x = -30
31 answers
Solve for x.
12 - x/9 (x over 9) = 11
12 - x/9 (x over 9) = 11
To solve for x, we will first remove the fraction by multiplying both sides of the equation by 9:
9(12 - x/9) = 9(11)
Distributing and simplifying:
108 - x = 99
Next, we'll isolate the x term by subtracting 108 from both sides:
- x = 99 - 108
This simplifies to:
- x = -9
Finally, we'll multiply both sides of the equation by -1 to isolate x:
x = -9 * -1
x = 9
Therefore, x = 9.
9(12 - x/9) = 9(11)
Distributing and simplifying:
108 - x = 99
Next, we'll isolate the x term by subtracting 108 from both sides:
- x = 99 - 108
This simplifies to:
- x = -9
Finally, we'll multiply both sides of the equation by -1 to isolate x:
x = -9 * -1
x = 9
Therefore, x = 9.
Solve for x.
-20x = -5 + 3x
-20x = -5 + 3x
To solve for x, we can combine like terms and isolate the variable on one side of the equation:
-20x - 3x = -5
Next, we can combine the x terms:
-23x = -5
To isolate x, divide both sides of the equation by -23:
(-23x) / -23 = (-5) / -23
This simplifies to:
x = 5/23
Therefore, x = 5/23.
-20x - 3x = -5
Next, we can combine the x terms:
-23x = -5
To isolate x, divide both sides of the equation by -23:
(-23x) / -23 = (-5) / -23
This simplifies to:
x = 5/23
Therefore, x = 5/23.
I don't think that's correct
You're right, my previous response was incorrect. Let's try solving it again:
To solve for x, we can combine like terms and isolate the variable on one side of the equation:
-20x = -5 + 3x
Next, we can add 20x to both sides to get rid of the -20x term:
-20x + 20x = -5 + 3x + 20x
Simplifying this equation:
0 = -5 + 23x
To further isolate the x term, we subtract -5 from both sides:
0 - (-5) = -5 + 23x - (-5)
Simplifying this equation:
5 = 23x
Finally, we divide both sides by 23 to solve for x:
5/23 = x
Therefore, x = 5/23.
To solve for x, we can combine like terms and isolate the variable on one side of the equation:
-20x = -5 + 3x
Next, we can add 20x to both sides to get rid of the -20x term:
-20x + 20x = -5 + 3x + 20x
Simplifying this equation:
0 = -5 + 23x
To further isolate the x term, we subtract -5 from both sides:
0 - (-5) = -5 + 23x - (-5)
Simplifying this equation:
5 = 23x
Finally, we divide both sides by 23 to solve for x:
5/23 = x
Therefore, x = 5/23.
Solve for x.
20 = 5 - 3/8x
20 = 5 - 3/8x
To solve for x, we'll start by isolating the variable on one side of the equation.
We can begin by subtracting 5 from both sides:
20 - 5 = 5 - 5 - 3/8x
This simplifies to:
15 = -3/8x
Next, we can multiply both sides by -8/3 to get rid of the fraction:
15 * (-8/3) = (-3/8x) * (-8/3)
Simplifying this equation:
-40 = x
Therefore, x = -40.
We can begin by subtracting 5 from both sides:
20 - 5 = 5 - 5 - 3/8x
This simplifies to:
15 = -3/8x
Next, we can multiply both sides by -8/3 to get rid of the fraction:
15 * (-8/3) = (-3/8x) * (-8/3)
Simplifying this equation:
-40 = x
Therefore, x = -40.
Solve for x.
7(4x + 15) = 63
7(4x + 15) = 63
To solve for x, we'll begin by simplifying both sides of the equation:
7(4x + 15) = 63
First, we'll distribute the 7 on the left side of the equation:
28x + 105 = 63
Next, we'll subtract 105 from both sides of the equation:
28x + 105 - 105 = 63 - 105
Simplifying the equation further:
28x = -42
Finally, we divide both sides of the equation by 28 to solve for x:
(28x) / 28 = (-42) / 28
This simplifies to:
x = -3/2
Therefore, x = -3/2.
7(4x + 15) = 63
First, we'll distribute the 7 on the left side of the equation:
28x + 105 = 63
Next, we'll subtract 105 from both sides of the equation:
28x + 105 - 105 = 63 - 105
Simplifying the equation further:
28x = -42
Finally, we divide both sides of the equation by 28 to solve for x:
(28x) / 28 = (-42) / 28
This simplifies to:
x = -3/2
Therefore, x = -3/2.
Solve for x: -2(3x - 15) - 25 = 35
To solve for x, we'll first simplify the left side of the equation:
-2(3x - 15) - 25 = 35
Distribute the -2:
-6x + 30 - 25 = 35
Combine like terms:
-6x + 5 = 35
Next, we'll isolate the variable x by subtracting 5 from both sides of the equation:
-6x + 5 - 5 = 35 - 5
Simplifying this equation:
-6x = 30
Finally, we'll divide both sides of the equation by -6 to solve for x:
(-6x) / -6 = 30 / -6
This simplifies to:
x = -5
Therefore, x = -5.
-2(3x - 15) - 25 = 35
Distribute the -2:
-6x + 30 - 25 = 35
Combine like terms:
-6x + 5 = 35
Next, we'll isolate the variable x by subtracting 5 from both sides of the equation:
-6x + 5 - 5 = 35 - 5
Simplifying this equation:
-6x = 30
Finally, we'll divide both sides of the equation by -6 to solve for x:
(-6x) / -6 = 30 / -6
This simplifies to:
x = -5
Therefore, x = -5.
Solve for x: 12x + 5 = 10x - 11
To solve for x, we'll start by isolating the variable on one side of the equation.
First, we'll subtract 10x from both sides:
12x + 5 - 10x = 10x - 11 - 10x
This simplifies to:
2x + 5 = -11
Next, we'll subtract 5 from both sides:
2x + 5 - 5 = -11 - 5
This simplifies to:
2x = -16
Finally, we'll divide both sides by 2 to solve for x:
(2x) / 2 = (-16) / 2
This simplifies to:
x = -8
Therefore, x = -8.
First, we'll subtract 10x from both sides:
12x + 5 - 10x = 10x - 11 - 10x
This simplifies to:
2x + 5 = -11
Next, we'll subtract 5 from both sides:
2x + 5 - 5 = -11 - 5
This simplifies to:
2x = -16
Finally, we'll divide both sides by 2 to solve for x:
(2x) / 2 = (-16) / 2
This simplifies to:
x = -8
Therefore, x = -8.
At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable.
Let's use x as the number of days it will take for the two songs to have the same number of listens.
For the first song, the total number of listens after x days is 1,000 + 38x.
For the second song, the total number of listens after x days is 900 + 40x.
To find the number of days it will take for the two songs to have the same number of listens, we can set up an equation:
1,000 + 38x = 900 + 40x
This equation represents when the number of listens for the first song is equal to the number of listens for the second song.
Therefore, the equation is:
1,000 + 38x = 900 + 40x
For the first song, the total number of listens after x days is 1,000 + 38x.
For the second song, the total number of listens after x days is 900 + 40x.
To find the number of days it will take for the two songs to have the same number of listens, we can set up an equation:
1,000 + 38x = 900 + 40x
This equation represents when the number of listens for the first song is equal to the number of listens for the second song.
Therefore, the equation is:
1,000 + 38x = 900 + 40x
An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Choose the equation to show the number of visits it would take for the cost of the two plans to be equal. (1 point)
10x = 32 - 6x; x = 2
10x = 32 + 6x; x = -3
10x = 32 + 6x; x = 8
10x = 32 + 6x; x = 4
10x = 32 - 6x; x = 2
10x = 32 + 6x; x = -3
10x = 32 + 6x; x = 8
10x = 32 + 6x; x = 4
The correct equation to show the number of visits it would take for the cost of the two plans to be equal is:
10x = 32 + 6x; x = 4
10x = 32 + 6x; x = 4
At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens? (1 point)
The songs will have the same number of listens after ___ days.
The songs will have the same number of listens after ___ days.
To determine when the two songs will have the same number of listens, we can set up the equation:
700 + 52x = 600 + 56x
Where x represents the number of days.
By rearranging the equation, we have:
52x - 56x = 600 - 700
-4x = -100
To solve for x, we can divide both sides by -4:
x = 25
Therefore, the two songs will have the same number of listens after 25 days.
700 + 52x = 600 + 56x
Where x represents the number of days.
By rearranging the equation, we have:
52x - 56x = 600 - 700
-4x = -100
To solve for x, we can divide both sides by -4:
x = 25
Therefore, the two songs will have the same number of listens after 25 days.
Which of the following equations has no solutions?
6x + 4 = 6x + 4
-6x + 4 = 6x + 3
-6x + 4 = -6x + 3
6x + 3 = -6x + 3
6x + 4 = 6x + 4
-6x + 4 = 6x + 3
-6x + 4 = -6x + 3
6x + 3 = -6x + 3
The equation that has no solutions is:
-6x + 4 = 6x + 3
-6x + 4 = 6x + 3
Which of the following equations has no solutions?
-3x + 8 = -3x - 8
-8x + 3 = -8x + 3
3x - 8 = 3x - 8
-3x - 8 = 3x - 8
-3x + 8 = -3x - 8
-8x + 3 = -8x + 3
3x - 8 = 3x - 8
-3x - 8 = 3x - 8
The equation that has no solutions is:
-3x + 8 = -3x - 8
-3x + 8 = -3x - 8
Solve for x to determine if the equation has one, none, or infinite situations.
11x = 3 (7x - 1) - 10x
The equation has one solution: x = 1.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x = -3.
11x = 3 (7x - 1) - 10x
The equation has one solution: x = 1.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x = -3.
To solve the equation, we'll simplify both sides and then solve for x:
Starting with the left side:
11x
Now, let's simplify the right side:
3(7x - 1) - 10x
= 21x - 3 - 10x
= 11x - 3
By comparing the left side (11x) to the simplified right side (11x - 3), we can see that these two expressions are equivalent. Therefore, for any value of x, the equation is true.
This means that the equation has infinite solutions.
Starting with the left side:
11x
Now, let's simplify the right side:
3(7x - 1) - 10x
= 21x - 3 - 10x
= 11x - 3
By comparing the left side (11x) to the simplified right side (11x - 3), we can see that these two expressions are equivalent. Therefore, for any value of x, the equation is true.
This means that the equation has infinite solutions.
Solve for x to determine if the equation has one, none, or infinite situations.
5 (2x + 2) - 4 = 2x + 6
The equation has one solution: x = 1.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x = 0.
5 (2x + 2) - 4 = 2x + 6
The equation has one solution: x = 1.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x = 0.
To solve the equation, we'll simplify both sides and then solve for x:
Starting with the left side:
5(2x + 2) - 4
= 10x + 10 - 4
= 10x + 6
Now, let's simplify the right side:
2x + 6
By comparing the left side (10x + 6) to the right side (2x + 6), we notice that they are equivalent. This means that no matter the value of x, the equation will always hold true.
Therefore, the equation has infinite solutions.
Starting with the left side:
5(2x + 2) - 4
= 10x + 10 - 4
= 10x + 6
Now, let's simplify the right side:
2x + 6
By comparing the left side (10x + 6) to the right side (2x + 6), we notice that they are equivalent. This means that no matter the value of x, the equation will always hold true.
Therefore, the equation has infinite solutions.
Solve the following linear equation for x: Then check your answer. Show all your steps for solving and checking.
5x + 8 + x = 32
5x + 8 + x = 32
To solve the equation, we'll begin by combining like terms on the left side of the equation:
5x + 8 + x = 32
Combine the x terms:
6x + 8 = 32
Next, we'll isolate the variable x by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
Simplifying this equation:
6x = 24
Finally, we'll divide both sides of the equation by 6 to solve for x:
(6x) / 6 = 24 / 6
This simplifies to:
x = 4
Now we'll check our answer by substituting x = 4 back into the original equation:
5x + 8 + x = 32
Substituting x = 4:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since the equation is true, our solution x = 4 is correct.
5x + 8 + x = 32
Combine the x terms:
6x + 8 = 32
Next, we'll isolate the variable x by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
Simplifying this equation:
6x = 24
Finally, we'll divide both sides of the equation by 6 to solve for x:
(6x) / 6 = 24 / 6
This simplifies to:
x = 4
Now we'll check our answer by substituting x = 4 back into the original equation:
5x + 8 + x = 32
Substituting x = 4:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since the equation is true, our solution x = 4 is correct.
8 answers