-2(x-1)=2(x+2)+2

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Solution for -2(x-1)=2(x+2)+2 equation: 


Simplifying
-2(x + -1) = 2(x + 2) + 2

Reorder the terms:
-2(-1 + x) = 2(x + 2) + 2
(-1 * -2 + x * -2) = 2(x + 2) + 2
(2 + -2x) = 2(x + 2) + 2

Reorder the terms:
2 + -2x = 2(2 + x) + 2
2 + -2x = (2 * 2 + x * 2) + 2
2 + -2x = (4 + 2x) + 2

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

Combine like terms: 4 + 2 = 6
2 + -2x = 6 + 2x

Solving
2 + -2x = 6 + 2x

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.
2 + -2x + -2x = 6 + 2x + -2x

Combine like terms: -2x + -2x = -4x
2 + -4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -4x = 6 + 0
2 + -4x = 6

Add '-2' to each side of the equation.
2 + -2 + -4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 6 + -2
-4x = 6 + -2

Combine like terms: 6 + -2 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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