13x-(7x-6)=42

Solution for 13x-(7x-6)=42 equation:

Simplifying
13x + -1(7x + -6) = 42

Reorder the terms:
13x + -1(-6 + 7x) = 42
13x + (-6 * -1 + 7x * -1) = 42
13x + (6 + -7x) = 42

Reorder the terms:
6 + 13x + -7x = 42

Combine like terms: 13x + -7x = 6x
6 + 6x = 42

Solving
6 + 6x = 42

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 + 6x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 42 + -6
6x = 42 + -6

Combine like terms: 42 + -6 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6