7(x+6)=13x-42

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

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

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

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

Solving
42 + 7x = -42 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
42 + 7x + -13x = -42 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
42 + -6x = -42 + 0
42 + -6x = -42

Add '-42' to each side of the equation.
42 + -42 + -6x = -42 + -42

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

Combine like terms: -42 + -42 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14