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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 0
4 + 0 = x
4 = x

Solving
4 = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
4 + -1x = x + -1x

Combine like terms: x + -1x = 0
4 + -1x = 0

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4