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

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Solution for 4x-(x+2)=2(2x-1)-x equation: 


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

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

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

Combine like terms: 4x + -1x = 3x
-2 + 3x = 2(2x + -1) + -1x

Reorder the terms:
-2 + 3x = 2(-1 + 2x) + -1x
-2 + 3x = (-1 * 2 + 2x * 2) + -1x
-2 + 3x = (-2 + 4x) + -1x

Combine like terms: 4x + -1x = 3x
-2 + 3x = -2 + 3x

Add '2' to each side of the equation.
-2 + 2 + 3x = -2 + 2 + 3x

Combine like terms: -2 + 2 = 0
0 + 3x = -2 + 2 + 3x
3x = -2 + 2 + 3x

Combine like terms: -2 + 2 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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