-(x-2)=-(6-x)

Solution for -(x-2)=-(6-x) equation:

Simplifying
-1(x + -2) = -1(6 + -1x)

Reorder the terms:
-1(-2 + x) = -1(6 + -1x)
(-2 * -1 + x * -1) = -1(6 + -1x)
(2 + -1x) = -1(6 + -1x)
2 + -1x = (6 * -1 + -1x * -1)
2 + -1x = (-6 + 1x)

Solving
2 + -1x = -6 + 1x

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 + -1x + -1x = -6 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
2 + -2x = -6 + 0
2 + -2x = -6

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

Combine like terms: 2 + -2 = 0
0 + -2x = -6 + -2
-2x = -6 + -2

Combine like terms: -6 + -2 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4