-(x+1)=x-1

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

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0