7(2x-6)-13x=5

Solution for 7(2x-6)-13x=5 equation:

Simplifying
7(2x + -6) + -13x = 5

Reorder the terms:
7(-6 + 2x) + -13x = 5
(-6 * 7 + 2x * 7) + -13x = 5
(-42 + 14x) + -13x = 5

Combine like terms: 14x + -13x = 1x
-42 + 1x = 5

Solving
-42 + 1x = 5

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 1x = 5 + 42

Combine like terms: -42 + 42 = 0
0 + 1x = 5 + 42
1x = 5 + 42

Combine like terms: 5 + 42 = 47
1x = 47

Divide each side by '1'.
x = 47

Simplifying
x = 47