-12x +20 = -10x + 32 solve for x

3 answers

To solve for x, we need to isolate the variable on one side of the equation.

Starting with the equation: -12x + 20 = -10x + 32

First, let's simplify the equation:
Combine like terms on both sides of the equation:
-12x + 10x + 20 = -10x + 10x + 32
-2x + 20 = 32

Next, let's isolate the x-term by subtracting 20 from both sides of the equation:
-2x + 20 - 20 = 32 - 20
-2x = 12

Now let's solve for x by dividing both sides of the equation by -2:
(-2x)/(-2) = 12/(-2)
x = -6

Therefore, the solution to the equation -12x + 20 = -10x + 32 is x = -6.
5x + 2 = 3x - 20 solve for x
To solve for x, we need to isolate the variable on one side of the equation.

Starting with the equation: 5x + 2 = 3x - 20

First, let's simplify the equation:
Combine like terms on both sides of the equation:
5x - 3x + 2 = 3x - 3x - 20
2x + 2 = -20

Next, let's isolate the x-term by subtracting 2 from both sides of the equation:
2x + 2 - 2 = -20 - 2
2x = -22

Now let's solve for x by dividing both sides of the equation by 2:
(2x) / (2) = -22 / (2)
x = -11

Therefore, the solution to the equation 5x + 2 = 3x - 20 is x = -11.
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