(9x+6)-(-8x-6)=x

Solution for (9x+6)-(-8x-6)=x equation:

Simplifying
(9x + 6) + -1(-8x + -6) = x

Reorder the terms:
(6 + 9x) + -1(-8x + -6) = x

Remove parenthesis around (6 + 9x)
6 + 9x + -1(-8x + -6) = x

Reorder the terms:
6 + 9x + -1(-6 + -8x) = x
6 + 9x + (-6 * -1 + -8x * -1) = x
6 + 9x + (6 + 8x) = x

Reorder the terms:
6 + 6 + 9x + 8x = x

Combine like terms: 6 + 6 = 12
12 + 9x + 8x = x

Combine like terms: 9x + 8x = 17x
12 + 17x = x

Solving
12 + 17x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 17x + -1x = x + -1x

Combine like terms: 17x + -1x = 16x
12 + 16x = x + -1x

Combine like terms: x + -1x = 0
12 + 16x = 0

Add '-12' to each side of the equation.
12 + -12 + 16x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 0 + -12
16x = 0 + -12

Combine like terms: 0 + -12 = -12
16x = -12

Divide each side by '16'.
x = -0.75

Simplifying
x = -0.75