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

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

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

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

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

Solving
6 + x = -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.
6 + x + 6x = -6 + -6x + 6x

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

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

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

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

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

Divide each side by '7'.
x = -1.714285714

Simplifying
x = -1.714285714