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

Mathematics

2 answers:

EastWind [94]3 years ago

6 0

Answer:

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

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

$12 + 2y = 4x$

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

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

Bogdan [553]3 years ago

4 0

Answer:

$\huge\boxed{x=\dfrac{1}{2}y+3}$

Step-by-step explanation:

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

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