6+6(x-8)=2-5(x-8)

Solution for 6+6(x-8)=2-5(x-8) equation:

Simplifying
6 + 6(x + -8) = 2 + -5(x + -8)

Reorder the terms:
6 + 6(-8 + x) = 2 + -5(x + -8)
6 + (-8 * 6 + x * 6) = 2 + -5(x + -8)
6 + (-48 + 6x) = 2 + -5(x + -8)

Combine like terms: 6 + -48 = -42
-42 + 6x = 2 + -5(x + -8)

Reorder the terms:
-42 + 6x = 2 + -5(-8 + x)
-42 + 6x = 2 + (-8 * -5 + x * -5)
-42 + 6x = 2 + (40 + -5x)

Combine like terms: 2 + 40 = 42
-42 + 6x = 42 + -5x

Solving
-42 + 6x = 42 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-42 + 6x + 5x = 42 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-42 + 11x = 42 + -5x + 5x

Combine like terms: -5x + 5x = 0
-42 + 11x = 42 + 0
-42 + 11x = 42

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

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

Combine like terms: 42 + 42 = 84
11x = 84

Divide each side by '11'.
x = 7.636363636

Simplifying
x = 7.636363636