5x+6=11x-72

Solution for 5x+6=11x-72 equation:

Simplifying
5x + 6 = 11x + -72

Reorder the terms:
6 + 5x = 11x + -72

Reorder the terms:
6 + 5x = -72 + 11x

Solving
6 + 5x = -72 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
6 + 5x + -11x = -72 + 11x + -11x

Combine like terms: 5x + -11x = -6x
6 + -6x = -72 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -6x = -72 + 0
6 + -6x = -72

Add '-6' to each side of the equation.
6 + -6 + -6x = -72 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -72 + -6
-6x = -72 + -6

Combine like terms: -72 + -6 = -78
-6x = -78

Divide each side by '-6'.
x = 13

Simplifying
x = 13