5x-6(1-x)=3(x-8)+6

Solution for 5x-6(1-x)=3(x-8)+6 equation:

Simplifying
5x + -6(1 + -1x) = 3(x + -8) + 6
5x + (1 * -6 + -1x * -6) = 3(x + -8) + 6
5x + (-6 + 6x) = 3(x + -8) + 6

Reorder the terms:
-6 + 5x + 6x = 3(x + -8) + 6

Combine like terms: 5x + 6x = 11x
-6 + 11x = 3(x + -8) + 6

Reorder the terms:
-6 + 11x = 3(-8 + x) + 6
-6 + 11x = (-8 * 3 + x * 3) + 6
-6 + 11x = (-24 + 3x) + 6

Reorder the terms:
-6 + 11x = -24 + 6 + 3x

Combine like terms: -24 + 6 = -18
-6 + 11x = -18 + 3x

Solving
-6 + 11x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 11x + -3x = -18 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-6 + 8x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 8x = -18 + 0
-6 + 8x = -18

Add '6' to each side of the equation.
-6 + 6 + 8x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = -18 + 6
8x = -18 + 6

Combine like terms: -18 + 6 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5