7(4x - 15) = 63
28x - 105 = 63
28x = 63 + 105
28x = 168
x = 168 / 28
x = 6
Therefore, x = 6.
Solve for x . 7(4x−15)=63 (1 point)
11 answers
Solve for x : −2(3x−15)−25=35 .(1 point)
-2(3x - 15) - 25 = 35
-6x + 30 - 25 = 35
-6x + 5 = 35
-6x = 35 - 5
-6x = 30
x = 30 /(-6)
x = -5
Therefore, x = -5.
-6x + 30 - 25 = 35
-6x + 5 = 35
-6x = 35 - 5
-6x = 30
x = 30 /(-6)
x = -5
Therefore, x = -5.
Solve for x: 12x+5=10x−11.
To solve for x, we want to isolate x on one side of the equation by moving constant terms to the other side as follow:
12x + 5 = 10x - 11
Subtract 10x from both sides:
12x + 5 - 10x = 10x - 11 - 10x
2x + 5 = -11
Subtract 5 from both sides:
2x + 5 - 5 = -11 - 5
2x = -16
Divide by 2:
2x / 2 = -16 / 2
x = -8
Therefore, x = -8.
12x + 5 = 10x - 11
Subtract 10x from both sides:
12x + 5 - 10x = 10x - 11 - 10x
2x + 5 = -11
Subtract 5 from both sides:
2x + 5 - 5 = -11 - 5
2x = -16
Divide by 2:
2x / 2 = -16 / 2
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 x be the number of days it would take for the two songs to have the same number of listens.
For the first song with 1,000 listens and gaining 38 new listens each day:
number of listens = 1,000 + 38x
For the second song with 900 listens and gaining 40 new listens each day:
number of listens = 900 + 40x
We want to find the number of days (x) when the number of listens for the first song equals the number of listens for the second song:
1,000 + 38x = 900 + 40x
This is the equation that shows the number of days it would take for the two songs to have the same number of listens.
For the first song with 1,000 listens and gaining 38 new listens each day:
number of listens = 1,000 + 38x
For the second song with 900 listens and gaining 40 new listens each day:
number of listens = 900 + 40x
We want to find the number of days (x) when the number of listens for the first song equals the number of listens for the second song:
1,000 + 38x = 900 + 40x
This is the equation that shows the number of days it would take for the two songs to have the same number of listens.
Which of the following equations has exactly one solution?(1 point) Responses −3x+8=−3x−8 negative 3 x plus 8 equals negative 3 x minus 8 −8x+3=−8x+3 negative 8 x plus 3 equals negative 8 x plus 3 −3x−8=3x−8 negative 3 x minus 8 equals 3 x minus 8 3x−8=3x+8 3 x minus 8 equals 3 x plus 8
The equation that has exactly one solution is:
3x - 8 = 3x + 8
When simplifying this equation, we can see that the variable x will cancel out on both sides of the equation and we are left with:
-8 = 8
This is a contradiction, indicating there are no solutions for this equation. Therefore, it has exactly one solution, which is no solution.
3x - 8 = 3x + 8
When simplifying this equation, we can see that the variable x will cancel out on both sides of the equation and we are left with:
-8 = 8
This is a contradiction, indicating there are no solutions for this equation. Therefore, it has exactly one solution, which is no solution.
Solve for x to determine if the equation has one, none, or infinite solutions. 5(2x+2)−4=2x+6(1 point)
To determine if the equation has one, none, or infinite solutions, we need to solve for x:
5(2x+2) - 4 = 2x + 6
First, distribute the 5 on the left side:
10x + 10 - 4 = 2x + 6
Combine like terms:
10x + 6 = 2x + 6
Subtract 6 from both sides:
10x = 2x
Divide by 2 on both sides:
10x / 2 = 2x / 2
5x = x
Subtract x from both sides:
5x - x = x - x
4x = 0
Divide by 4 on both sides:
4x / 4 = 0 / 4
x = 0
Therefore, the equation has one unique solution, x = 0.
5(2x+2) - 4 = 2x + 6
First, distribute the 5 on the left side:
10x + 10 - 4 = 2x + 6
Combine like terms:
10x + 6 = 2x + 6
Subtract 6 from both sides:
10x = 2x
Divide by 2 on both sides:
10x / 2 = 2x / 2
5x = x
Subtract x from both sides:
5x - x = x - x
4x = 0
Divide by 4 on both sides:
4x / 4 = 0 / 4
x = 0
Therefore, the equation has one unique solution, x = 0.