2x-2y=4(x-y)+8

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Solution for 2x-2y=4(x-y)+8 equation: 


Simplifying
2x + -2y = 4(x + -1y) + 8
2x + -2y = (x * 4 + -1y * 4) + 8
2x + -2y = (4x + -4y) + 8

Reorder the terms:
2x + -2y = 8 + 4x + -4y

Solving
2x + -2y = 8 + 4x + -4y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
2x + -4x + -2y = 8 + 4x + -4x + -4y

Combine like terms: 2x + -4x = -2x
-2x + -2y = 8 + 4x + -4x + -4y

Combine like terms: 4x + -4x = 0
-2x + -2y = 8 + 0 + -4y
-2x + -2y = 8 + -4y

Add '2y' to each side of the equation.
-2x + -2y + 2y = 8 + -4y + 2y

Combine like terms: -2y + 2y = 0
-2x + 0 = 8 + -4y + 2y
-2x = 8 + -4y + 2y

Combine like terms: -4y + 2y = -2y
-2x = 8 + -2y

Divide each side by '-2'.
x = -4 + y

Simplifying
x = -4 + y

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