-2(x-3)=-x+13

Solution for -2(x-3)=-x+13 equation:

Simplifying
-2(x + -3) = -1x + 13

Reorder the terms:
-2(-3 + x) = -1x + 13
(-3 * -2 + x * -2) = -1x + 13
(6 + -2x) = -1x + 13

Reorder the terms:
6 + -2x = 13 + -1x

Solving
6 + -2x = 13 + -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 = 13 + -1x + x

Combine like terms: -2x + x = -1x
6 + -1x = 13 + -1x + x

Combine like terms: -1x + x = 0
6 + -1x = 13 + 0
6 + -1x = 13

Add '-6' to each side of the equation.
6 + -6 + -1x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 13 + -6
-1x = 13 + -6

Combine like terms: 13 + -6 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7