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

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


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

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

Remove parenthesis around (1 + x)
1 + x + -1(1 + -1x) = 2x
1 + x + (1 * -1 + -1x * -1) = 2x
1 + x + (-1 + 1x) = 2x

Reorder the terms:
1 + -1 + x + 1x = 2x

Combine like terms: 1 + -1 = 0
0 + x + 1x = 2x
x + 1x = 2x

Combine like terms: x + 1x = 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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