6x+6=83-x

Solution for 6x+6=83-x equation:

Simplifying
6x + 6 = 83 + -1x

Reorder the terms:
6 + 6x = 83 + -1x

Solving
6 + 6x = 83 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 6x + x = 83 + -1x + x

Combine like terms: 6x + x = 7x
6 + 7x = 83 + -1x + x

Combine like terms: -1x + x = 0
6 + 7x = 83 + 0
6 + 7x = 83

Add '-6' to each side of the equation.
6 + -6 + 7x = 83 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 83 + -6
7x = 83 + -6

Combine like terms: 83 + -6 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11