(13x-6)-6(2x+2)=-6

Solution for (13x-6)-6(2x+2)=-6 equation:

Simplifying
(13x + -6) + -6(2x + 2) = -6

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

Remove parenthesis around (-6 + 13x)
-6 + 13x + -6(2x + 2) = -6

Reorder the terms:
-6 + 13x + -6(2 + 2x) = -6
-6 + 13x + (2 * -6 + 2x * -6) = -6
-6 + 13x + (-12 + -12x) = -6

Reorder the terms:
-6 + -12 + 13x + -12x = -6

Combine like terms: -6 + -12 = -18
-18 + 13x + -12x = -6

Combine like terms: 13x + -12x = 1x
-18 + 1x = -6

Solving
-18 + 1x = -6

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 1x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -6 + 18
1x = -6 + 18

Combine like terms: -6 + 18 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12