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

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


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

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

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

Combine like terms: 4 + 4 = 8
8 + -2x = 2(x + 4) + -4x

Reorder the terms:
8 + -2x = 2(4 + x) + -4x
8 + -2x = (4 * 2 + x * 2) + -4x
8 + -2x = (8 + 2x) + -4x

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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