Question

12-2x = -2(y-x) find x pls show me how u did it lol

Answer 1

`\huge\boxed{x=(1)/(2)y+3}`

Explanation:

`12-2x=-2(y-x)\qquad|\text{use the distributive property}:\ a(b+c)=ab+ac\\\\12-2x=(-2)(y)+(-2)(-x)\\\\12-2x=-2y+2x\qquad|\text{subtact 12 from both sides}\\\\12-12-2x=-2y+2x-12\\\\-2x=-2y+2x-12\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\-2x-2x=-2y+2x-2x-12\\\\-4x=-2y-12\qquad|\text{divide both sides by (-4)}\\\\(-4x)/(-4)=(-2y)/(-4)-(12)/(-4)\\\\x=(1)/(2)y+3`

Answer 2

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

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

`12 + 2y = 4x`

`x = (12 + 2y)/(4)`

`x = (6 + y)/(2)`