-4(x-2)+5x=2(x+4)-x

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Solution for -4(x-2)+5x=2(x+4)-x equation: 


Simplifying
-4(x + -2) + 5x = 2(x + 4) + -1x

Reorder the terms:
-4(-2 + x) + 5x = 2(x + 4) + -1x
(-2 * -4 + x * -4) + 5x = 2(x + 4) + -1x
(8 + -4x) + 5x = 2(x + 4) + -1x

Combine like terms: -4x + 5x = 1x
8 + 1x = 2(x + 4) + -1x

Reorder the terms:
8 + 1x = 2(4 + x) + -1x
8 + 1x = (4 * 2 + x * 2) + -1x
8 + 1x = (8 + 2x) + -1x

Combine like terms: 2x + -1x = 1x
8 + 1x = 8 + 1x

Add '-8' to each side of the equation.
8 + -8 + 1x = 8 + -8 + 1x

Combine like terms: 8 + -8 = 0
0 + 1x = 8 + -8 + 1x
1x = 8 + -8 + 1x

Combine like terms: 8 + -8 = 0
1x = 0 + 1x
1x = 1x

Add '-1x' to each side of the equation.
1x + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
0 = 1x + -1x

Combine like terms: 1x + -1x = 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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