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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 0
4 + 0 = x + 1
4 = x + 1

Reorder the terms:
4 = 1 + x

Solving
4 = 1 + 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 = 1 + x + -1x

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3