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

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

Simplifying
8(x + 6) + 3(x + 6) = 6x + -6

Reorder the terms:
8(6 + x) + 3(x + 6) = 6x + -6
(6 * 8 + x * 8) + 3(x + 6) = 6x + -6
(48 + 8x) + 3(x + 6) = 6x + -6

Reorder the terms:
48 + 8x + 3(6 + x) = 6x + -6
48 + 8x + (6 * 3 + x * 3) = 6x + -6
48 + 8x + (18 + 3x) = 6x + -6

Reorder the terms:
48 + 18 + 8x + 3x = 6x + -6

Combine like terms: 48 + 18 = 66
66 + 8x + 3x = 6x + -6

Combine like terms: 8x + 3x = 11x
66 + 11x = 6x + -6

Reorder the terms:
66 + 11x = -6 + 6x

Solving
66 + 11x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
66 + 11x + -6x = -6 + 6x + -6x

Combine like terms: 11x + -6x = 5x
66 + 5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
66 + 5x = -6 + 0
66 + 5x = -6

Add '-66' to each side of the equation.
66 + -66 + 5x = -6 + -66

Combine like terms: 66 + -66 = 0
0 + 5x = -6 + -66
5x = -6 + -66

Combine like terms: -6 + -66 = -72
5x = -72

Divide each side by '5'.
x = -14.4

Simplifying
x = -14.4