6(x+1)=5-2(6x+6)

Solution for 6(x+1)=5-2(6x+6) equation:

Simplifying
6(x + 1) = 5 + -2(6x + 6)

Reorder the terms:
6(1 + x) = 5 + -2(6x + 6)
(1 * 6 + x * 6) = 5 + -2(6x + 6)
(6 + 6x) = 5 + -2(6x + 6)

Reorder the terms:
6 + 6x = 5 + -2(6 + 6x)
6 + 6x = 5 + (6 * -2 + 6x * -2)
6 + 6x = 5 + (-12 + -12x)

Combine like terms: 5 + -12 = -7
6 + 6x = -7 + -12x

Solving
6 + 6x = -7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
6 + 6x + 12x = -7 + -12x + 12x

Combine like terms: 6x + 12x = 18x
6 + 18x = -7 + -12x + 12x

Combine like terms: -12x + 12x = 0
6 + 18x = -7 + 0
6 + 18x = -7

Add '-6' to each side of the equation.
6 + -6 + 18x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = -7 + -6
18x = -7 + -6

Combine like terms: -7 + -6 = -13
18x = -13

Divide each side by '18'.
x = -0.7222222222

Simplifying
x = -0.7222222222