Question

12-2x = -2(y-x) please explain how you got the answer

Answer 1

Answer:  $x=\frac{y+6}{2}$

Step-by-step explanation:

$12-2x=-2\left(y-x\right)$

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(Expand: $-2\left(y-x\right)$)

$=-2y-\left(-2\right)x$

$=-2y+2x$

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$12-2x=-2y+2x$

$-2x=-2y+2x-12$

$-2x-2x=-2y+2x-12-2x$

$-4x=-2y-12$

$\frac{-4x}{-4}=-\frac{2y}{-4}-\frac{12}{-4}$

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(Simplify: $\frac{-4x}{-4}$)

$\frac{-4x}{-4}$

$=\frac{4x}{4}$

$=x$

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(Simplify: $-\frac{2y}{-4}-\frac{12}{-4}$)

$=\frac{-2y-12}{-4}$

$-\frac{-2y-12}{4}$

$\frac{-2y-12}{4}$

$=-\frac{y+6}{2}$

$-\left(-\frac{y+6}{2}\right)$

$=\frac{y+6}{2}$

$x=\frac{y+6}{2}$