13x-(6x-6)=55

Solution for 13x-(6x-6)=55 equation:

Simplifying
13x + -1(6x + -6) = 55

Reorder the terms:
13x + -1(-6 + 6x) = 55
13x + (-6 * -1 + 6x * -1) = 55
13x + (6 + -6x) = 55

Reorder the terms:
6 + 13x + -6x = 55

Combine like terms: 13x + -6x = 7x
6 + 7x = 55

Solving
6 + 7x = 55

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 55 + -6
7x = 55 + -6

Combine like terms: 55 + -6 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7