5x+6=111-8x

Solution for 5x+6=111-8x equation:

Simplifying
5x + 6 = 111 + -8x

Reorder the terms:
6 + 5x = 111 + -8x

Solving
6 + 5x = 111 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 5x + 8x = 111 + -8x + 8x

Combine like terms: 5x + 8x = 13x
6 + 13x = 111 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 13x = 111 + 0
6 + 13x = 111

Add '-6' to each side of the equation.
6 + -6 + 13x = 111 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 111 + -6
13x = 111 + -6

Combine like terms: 111 + -6 = 105
13x = 105

Divide each side by '13'.
x = 8.076923077

Simplifying
x = 8.076923077