4-2(x-1)=-x

Solution for 4-2(x-1)=-x equation:

Simplifying
4 + -2(x + -1) = -1x

Reorder the terms:
4 + -2(-1 + x) = -1x
4 + (-1 * -2 + x * -2) = -1x
4 + (2 + -2x) = -1x

Combine like terms: 4 + 2 = 6
6 + -2x = -1x

Solving
6 + -2x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + -2x + x = -1x + x

Combine like terms: -2x + x = -1x
6 + -1x = -1x + x

Combine like terms: -1x + x = 0
6 + -1x = 0

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6