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

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

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

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

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

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

Solving
2 + 2x = -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.
2 + 2x + -1x = -1 + x + -1x

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

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

Add '-2' to each side of the equation.
2 + -2 + 1x = -1 + -2

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

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

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

Simplifying
x = -3