Answer:
[tex]12-2x = -2(y-x)[/tex]
[tex]12-2x = -2y + 2x[/tex]
[tex]12 + 2y = 4x[/tex]
[tex]x = \frac{12 + 2y}{4} [/tex]
[tex]x = \frac{6 + y}{2} [/tex]
Answer:
[tex]\huge\boxed{x=\dfrac{1}{2}y+3}[/tex]
Step-by-step explanation:
[tex]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)}\\\\\dfrac{-4x}{-4}=\dfrac{-2y}{-4}-\dfrac{12}{-4}\\\\x=\dfrac{1}{2}y+3[/tex]
