To solve this equation, let's start by distributing the 4 on the left side and the 5 on the right side:
4(y + 2) = 5(y - 5)
4y + 8 = 5y - 25
Next, let's isolate the variable terms by subtracting 4y from both sides of the equation:
8 = y - 25
Now, let's isolate the constant terms by adding 25 to both sides of the equation:
8 + 25 = y
33 = y
The solution to the equation is y = 33.
4(y + 2) = 5(y - 5)
21 answers
2x + 6 - 3x - 4 = 9x - 10x - 1
Let's simplify and solve the equation step by step:
2x + 6 - 3x - 4 = 9x - 10x - 1
First, combine like terms on each side of the equation:
(-x) + 2 = -x - 1
Next, subtract -x from both sides to simplify the equation further:
(-x) + 2 + x = -x - 1 + x
2 = -1
However, since the equation is not true (2 does not equal -1), there is no solution to this equation.
2x + 6 - 3x - 4 = 9x - 10x - 1
First, combine like terms on each side of the equation:
(-x) + 2 = -x - 1
Next, subtract -x from both sides to simplify the equation further:
(-x) + 2 + x = -x - 1 + x
2 = -1
However, since the equation is not true (2 does not equal -1), there is no solution to this equation.
x/5 = -15 8
To solve for x in the equation x/5 = -15 8, we'll first simplify and isolate x.
Adding the negative value 15 8 to both sides of the equation, we have:
x/5 + 15 8 = 0
Next, we need to convert 15 8 into a fraction. 15 is the whole number and 8 is the fractional part. So, 15 8 can also be written as 15 + 8.
Thus, the equation becomes:
x/5 + 151 8 = 0
To add the fractions, we'll first find a common denominator, which is 8 for 5 and 151 8.
Converting 5 to an equivalent fraction with a denominator of 8, we get 40/8.
Therefore, the equation becomes:
x/40 + 151 8 = 0
To combine the fractions, we add the numerators and put them over the common denominator:
(x + 151)/40 = 0
Now, to solve for x, we'll multiply both sides of the equation by 40:
40(x + 151)/40 = 0 * 40
x + 151 = 0
Finally, to isolate x, we'll subtract 151 from both sides of the equation:
x + 151 - 151 = 0 - 151
x = -151
The solution to the equation is x = -151.
Adding the negative value 15 8 to both sides of the equation, we have:
x/5 + 15 8 = 0
Next, we need to convert 15 8 into a fraction. 15 is the whole number and 8 is the fractional part. So, 15 8 can also be written as 15 + 8.
Thus, the equation becomes:
x/5 + 151 8 = 0
To add the fractions, we'll first find a common denominator, which is 8 for 5 and 151 8.
Converting 5 to an equivalent fraction with a denominator of 8, we get 40/8.
Therefore, the equation becomes:
x/40 + 151 8 = 0
To combine the fractions, we add the numerators and put them over the common denominator:
(x + 151)/40 = 0
Now, to solve for x, we'll multiply both sides of the equation by 40:
40(x + 151)/40 = 0 * 40
x + 151 = 0
Finally, to isolate x, we'll subtract 151 from both sides of the equation:
x + 151 - 151 = 0 - 151
x = -151
The solution to the equation is x = -151.
x/5 = -15 - 8
To solve for x in the equation x/5 = -15 - 8, we'll first simplify and isolate x.
Subtracting -15 and -8 on the right side of the equation:
x/5 = -15 - 8
Simplifying:
x/5 = -23
Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:
5 * (x/5) = -23 * 5
Simplifying:
x = -115
The solution to the equation is x = -115.
Subtracting -15 and -8 on the right side of the equation:
x/5 = -15 - 8
Simplifying:
x/5 = -23
Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:
5 * (x/5) = -23 * 5
Simplifying:
x = -115
The solution to the equation is x = -115.
x/5 = -15 + 8
To solve for x in the equation x/5 = -15 + 8, we'll first simplify and isolate x.
Adding -15 and 8 on the right side of the equation:
x/5 = -7
Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:
5 * (x/5) = -7 * 5
Simplifying:
x = -35
The solution to the equation is x = -35.
Adding -15 and 8 on the right side of the equation:
x/5 = -7
Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:
5 * (x/5) = -7 * 5
Simplifying:
x = -35
The solution to the equation is x = -35.
2(6x - 2) = 10x
Let's solve the equation step by step:
2(6x - 2) = 10x
First, we'll distribute the 2 on the left side:
12x - 4 = 10x
Next, let's simplify and isolate the variable terms by subtracting 10x from both sides:
12x - 10x - 4 = 10x - 10x
2x - 4 = 0
Now, let's isolate the constant terms by adding 4 to both sides:
2x - 4 + 4 = 0 + 4
2x = 4
To find the value of x, we'll divide both sides by 2:
2x/2 = 4/2
x = 2
The solution to the equation is x = 2.
2(6x - 2) = 10x
First, we'll distribute the 2 on the left side:
12x - 4 = 10x
Next, let's simplify and isolate the variable terms by subtracting 10x from both sides:
12x - 10x - 4 = 10x - 10x
2x - 4 = 0
Now, let's isolate the constant terms by adding 4 to both sides:
2x - 4 + 4 = 0 + 4
2x = 4
To find the value of x, we'll divide both sides by 2:
2x/2 = 4/2
x = 2
The solution to the equation is x = 2.
x/6 - 5 = -12
To solve the equation x/6 - 5 = -12, we'll first simplify and isolate x.
Adding 5 to both sides of the equation:
x/6 - 5 + 5 = -12 + 5
x/6 = -7
Next, to eliminate the fraction, we'll multiply both sides of the equation by 6:
6 * (x/6) = -7 * 6
Canceling out the 6 on the left side:
x = -42
The solution to the equation is x = -42.
Adding 5 to both sides of the equation:
x/6 - 5 + 5 = -12 + 5
x/6 = -7
Next, to eliminate the fraction, we'll multiply both sides of the equation by 6:
6 * (x/6) = -7 * 6
Canceling out the 6 on the left side:
x = -42
The solution to the equation is x = -42.
6(x + 2) - (6x + 12) = 0
To solve this equation, let's start by simplifying each side of the equation:
6(x + 2) - (6x + 12) = 0
Distributing the 6 on the left side:
6x + 12 - (6x + 12) = 0
Next, simplify the expressions within the parentheses:
6x + 12 - 6x - 12 = 0
Combining like terms:
(6x - 6x) + (12 - 12) = 0
Both terms simplify to zero:
0 + 0 = 0
Therefore, the equation is true for any value of x. This means that the solution is any real number.
6(x + 2) - (6x + 12) = 0
Distributing the 6 on the left side:
6x + 12 - (6x + 12) = 0
Next, simplify the expressions within the parentheses:
6x + 12 - 6x - 12 = 0
Combining like terms:
(6x - 6x) + (12 - 12) = 0
Both terms simplify to zero:
0 + 0 = 0
Therefore, the equation is true for any value of x. This means that the solution is any real number.
5(x + 3) = (5x + 15)
To solve this equation, let's distribute the 5 on the left side:
5(x + 3) = (5x + 15)
This gives us:
5x + 15 = 5x + 15
Now, let's simplify and isolate the variable terms by subtracting 5x from both sides:
5x - 5x + 15 = 5x - 5x + 15
This simplifies to:
15 = 15
Since 15 is equal to 15, this equation is true for any value of x. Therefore, the solution is any real number.
5(x + 3) = (5x + 15)
This gives us:
5x + 15 = 5x + 15
Now, let's simplify and isolate the variable terms by subtracting 5x from both sides:
5x - 5x + 15 = 5x - 5x + 15
This simplifies to:
15 = 15
Since 15 is equal to 15, this equation is true for any value of x. Therefore, the solution is any real number.
x + 2 = -28 + 6
To solve this equation, let's simplify and isolate x.
Start by simplifying -28 + 6 on the right side:
x + 2 = -22
Next, to isolate x, subtract 2 from both sides of the equation:
x + 2 - 2 = -22 - 2
This simplifies to:
x = -24
Therefore, the solution to the equation is x = -24.
Start by simplifying -28 + 6 on the right side:
x + 2 = -22
Next, to isolate x, subtract 2 from both sides of the equation:
x + 2 - 2 = -22 - 2
This simplifies to:
x = -24
Therefore, the solution to the equation is x = -24.
2(6x - 8) = 13x
Let's solve the equation step by step:
2(6x - 8) = 13x
First, distribute the 2 on the left side of the equation:
12x - 16 = 13x
Next, simplify and isolate the variable terms by subtracting 13x from both sides of the equation:
12x - 13x - 16 = 13x - 13x
-x - 16 = 0
Now, isolate the constant term by adding 16 to both sides of the equation:
-x - 16 + 16 = 0 + 16
-x = 16
Finally, multiply both sides of the equation by -1 to solve for x:
(-1)(-x) = (-1)(16)
x = -16
The solution to the equation is x = -16.
2(6x - 8) = 13x
First, distribute the 2 on the left side of the equation:
12x - 16 = 13x
Next, simplify and isolate the variable terms by subtracting 13x from both sides of the equation:
12x - 13x - 16 = 13x - 13x
-x - 16 = 0
Now, isolate the constant term by adding 16 to both sides of the equation:
-x - 16 + 16 = 0 + 16
-x = 16
Finally, multiply both sides of the equation by -1 to solve for x:
(-1)(-x) = (-1)(16)
x = -16
The solution to the equation is x = -16.