13x-(5x-6)=38

Solution for 13x-(5x-6)=38 equation:

Simplifying
13x + -1(5x + -6) = 38

Reorder the terms:
13x + -1(-6 + 5x) = 38
13x + (-6 * -1 + 5x * -1) = 38
13x + (6 + -5x) = 38

Reorder the terms:
6 + 13x + -5x = 38

Combine like terms: 13x + -5x = 8x
6 + 8x = 38

Solving
6 + 8x = 38

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 + 8x = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 38 + -6
8x = 38 + -6

Combine like terms: 38 + -6 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4