-(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