2(x+1)-(x-1)=0

Solution for 2(x+1)-(x-1)=0 equation:

Simplifying
2(x + 1) + -1(x + -1) = 0

Reorder the terms:
2(1 + x) + -1(x + -1) = 0
(1 * 2 + x * 2) + -1(x + -1) = 0
(2 + 2x) + -1(x + -1) = 0

Reorder the terms:
2 + 2x + -1(-1 + x) = 0
2 + 2x + (-1 * -1 + x * -1) = 0
2 + 2x + (1 + -1x) = 0

Reorder the terms:
2 + 1 + 2x + -1x = 0

Combine like terms: 2 + 1 = 3
3 + 2x + -1x = 0

Combine like terms: 2x + -1x = 1x
3 + 1x = 0

Solving
3 + 1x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 0 + -3
1x = 0 + -3

Combine like terms: 0 + -3 = -3
1x = -3

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

Simplifying
x = -3