-(x-1)=x

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

Simplifying
-1(x + -1) = x

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5