Question

12-2x=-2(y-x), solve for x

Answer 1

Solve: 12 - 2x = -2(y - x)

Steps:

1. Expand -2(y - x): -2y + 2x

12 - 2x = -2y + 2x

2. Then subtract 12 from both sides

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

3. Simplify,

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

4. Then, subtract 2x from both sides

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

5. Simplify,

-4x = -2y - 12

6. Then, divide both sides by -4

-4x/-4 = -2y/-4 - 12/-4

7. Simplify,

x = 1/2y + 3 <======= Answer

Hope this helped!!!!

Answer 2

The expression for x in terms of y is $x=\frac{y+6}{2}$

Equations are expressions separated by an equal sign.

Given the equation

12-2x=-2(y-x)

We are to make x the subject of the formula

Expand the bracket using the distributive law:

$12-2x=-2(y-x),\\12-2x=-2y+2x$

Collect the like terms

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

Divide through by 2

$-x-x =-y-6\\-2x=-y-6\\2x=y+6$

Divide both sides of the expression by 2:

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

Hence the expression for x in terms of y is $x=\frac{y+6}{2}$

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