ax-(a-6)x-6=0

Solution for ax-(a-6)x-6=0 equation:

Simplifying
ax + -1(a + -6) * x + -6 = 0

Reorder the terms:
ax + -1(-6 + a) * x + -6 = 0

Reorder the terms for easier multiplication:
ax + -1x(-6 + a) + -6 = 0
ax + (-6 * -1x + a * -1x) + -6 = 0

Reorder the terms:
ax + (-1ax + 6x) + -6 = 0
ax + (-1ax + 6x) + -6 = 0

Reorder the terms:
-6 + ax + -1ax + 6x = 0

Combine like terms: ax + -1ax = 0
-6 + 0 + 6x = 0
-6 + 6x = 0

Solving
-6 + 6x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 0 + 6

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

Combine like terms: 0 + 6 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1