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

Solution for 8(x-6)-6(x-1)+9x= equation:

Simplifying
8(x + -6) + -6(x + -1) + 9x = 0

Reorder the terms:
8(-6 + x) + -6(x + -1) + 9x = 0
(-6 * 8 + x * 8) + -6(x + -1) + 9x = 0
(-48 + 8x) + -6(x + -1) + 9x = 0

Reorder the terms:
-48 + 8x + -6(-1 + x) + 9x = 0
-48 + 8x + (-1 * -6 + x * -6) + 9x = 0
-48 + 8x + (6 + -6x) + 9x = 0

Reorder the terms:
-48 + 6 + 8x + -6x + 9x = 0

Combine like terms: -48 + 6 = -42
-42 + 8x + -6x + 9x = 0

Combine like terms: 8x + -6x = 2x
-42 + 2x + 9x = 0

Combine like terms: 2x + 9x = 11x
-42 + 11x = 0

Solving
-42 + 11x = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 11x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 11x = 0 + 42
11x = 0 + 42

Combine like terms: 0 + 42 = 42
11x = 42

Divide each side by '11'.
x = 3.818181818

Simplifying
x = 3.818181818