6+-6x=5x+61

Solution for 6+-6x=5x+61 equation:

Simplifying
6 + -6x = 5x + 61

Reorder the terms:
6 + -6x = 61 + 5x

Solving
6 + -6x = 61 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -6x + -5x = 61 + 5x + -5x

Combine like terms: -6x + -5x = -11x
6 + -11x = 61 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -11x = 61 + 0
6 + -11x = 61

Add '-6' to each side of the equation.
6 + -6 + -11x = 61 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 61 + -6
-11x = 61 + -6

Combine like terms: 61 + -6 = 55
-11x = 55

Divide each side by '-11'.
x = -5

Simplifying
x = -5