Explanation:
Correct solution:
12 -2x = -2(y - x)
The first step is to distribute the negative two on the right side:
12 - 2x = -2y + 2x
Next, we need to combine like terms. To do this we add 2x to both sides:
12 = - 2y + 4x
Next, we add 2y to both sides to isolate the x:
4x = 2y + 12
Finally, we divide by 4:
x = (1/2)y + 3
The error:
I'm assuming the error is that the order of operations is not being followed when solving the equation for x. The first step should be dealing with the parentheses as stated in PEMDAS and not subtraction as shown in the image.