111-(7x+9)=7(x+6)+x

Solution for 111-(7x+9)=7(x+6)+x equation:

Simplifying
111 + -1(7x + 9) = 7(x + 6) + x

Reorder the terms:
111 + -1(9 + 7x) = 7(x + 6) + x
111 + (9 * -1 + 7x * -1) = 7(x + 6) + x
111 + (-9 + -7x) = 7(x + 6) + x

Combine like terms: 111 + -9 = 102
102 + -7x = 7(x + 6) + x

Reorder the terms:
102 + -7x = 7(6 + x) + x
102 + -7x = (6 * 7 + x * 7) + x
102 + -7x = (42 + 7x) + x

Combine like terms: 7x + x = 8x
102 + -7x = 42 + 8x

Solving
102 + -7x = 42 + 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.
102 + -7x + -8x = 42 + 8x + -8x

Combine like terms: -7x + -8x = -15x
102 + -15x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
102 + -15x = 42 + 0
102 + -15x = 42

Add '-102' to each side of the equation.
102 + -102 + -15x = 42 + -102

Combine like terms: 102 + -102 = 0
0 + -15x = 42 + -102
-15x = 42 + -102

Combine like terms: 42 + -102 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4