-2(x-3)=2-(x-5)

Solution for -2(x-3)=2-(x-5) equation:

Simplifying
-2(x + -3) = 2 + -1(x + -5)

Reorder the terms:
-2(-3 + x) = 2 + -1(x + -5)
(-3 * -2 + x * -2) = 2 + -1(x + -5)
(6 + -2x) = 2 + -1(x + -5)

Reorder the terms:
6 + -2x = 2 + -1(-5 + x)
6 + -2x = 2 + (-5 * -1 + x * -1)
6 + -2x = 2 + (5 + -1x)

Combine like terms: 2 + 5 = 7
6 + -2x = 7 + -1x

Solving
6 + -2x = 7 + -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 = 7 + -1x + x

Combine like terms: -2x + x = -1x
6 + -1x = 7 + -1x + x

Combine like terms: -1x + x = 0
6 + -1x = 7 + 0
6 + -1x = 7

Add '-6' to each side of the equation.
6 + -6 + -1x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 7 + -6
-1x = 7 + -6

Combine like terms: 7 + -6 = 1
-1x = 1

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

Simplifying
x = -1