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

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

Simplifying
6 = -3(1 + 8x) + -3(x + 6)
6 = (1 * -3 + 8x * -3) + -3(x + 6)
6 = (-3 + -24x) + -3(x + 6)

Reorder the terms:
6 = -3 + -24x + -3(6 + x)
6 = -3 + -24x + (6 * -3 + x * -3)
6 = -3 + -24x + (-18 + -3x)

Reorder the terms:
6 = -3 + -18 + -24x + -3x

Combine like terms: -3 + -18 = -21
6 = -21 + -24x + -3x

Combine like terms: -24x + -3x = -27x
6 = -21 + -27x

Solving
6 = -21 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
6 + 27x = -21 + -27x + 27x

Combine like terms: -27x + 27x = 0
6 + 27x = -21 + 0
6 + 27x = -21

Add '-6' to each side of the equation.
6 + -6 + 27x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 27x = -21 + -6
27x = -21 + -6

Combine like terms: -21 + -6 = -27
27x = -27

Divide each side by '27'.
x = -1

Simplifying
x = -1