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

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


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

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

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

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

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

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

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

Combine like terms: 2 + -2 = 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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