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

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

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

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

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

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

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

Combine like terms: -6 + 9 = 3
3 + x + -1x = x + -8

Combine like terms: x + -1x = 0
3 + 0 = x + -8
3 = x + -8

Reorder the terms:
3 = -8 + x

Solving
3 = -8 + 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.
3 + -1x = -8 + x + -1x

Combine like terms: x + -1x = 0
3 + -1x = -8 + 0
3 + -1x = -8

Add '-3' to each side of the equation.
3 + -3 + -1x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -8 + -3
-1x = -8 + -3

Combine like terms: -8 + -3 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11