11(x+7)-13(x+8)=111

Solution for 11(x+7)-13(x+8)=111 equation:

Simplifying
11(x + 7) + -13(x + 8) = 111

Reorder the terms:
11(7 + x) + -13(x + 8) = 111
(7 * 11 + x * 11) + -13(x + 8) = 111
(77 + 11x) + -13(x + 8) = 111

Reorder the terms:
77 + 11x + -13(8 + x) = 111
77 + 11x + (8 * -13 + x * -13) = 111
77 + 11x + (-104 + -13x) = 111

Reorder the terms:
77 + -104 + 11x + -13x = 111

Combine like terms: 77 + -104 = -27
-27 + 11x + -13x = 111

Combine like terms: 11x + -13x = -2x
-27 + -2x = 111

Solving
-27 + -2x = 111

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + -2x = 111 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = 111 + 27
-2x = 111 + 27

Combine like terms: 111 + 27 = 138
-2x = 138

Divide each side by '-2'.
x = -69

Simplifying
x = -69