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

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -2 + 2y

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