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

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

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

Reorder the terms:
-6 + -6x = -6 + 6(6 + x)
-6 + -6x = -6 + (6 * 6 + x * 6)
-6 + -6x = -6 + (36 + 6x)

Combine like terms: -6 + 36 = 30
-6 + -6x = 30 + 6x

Solving
-6 + -6x = 30 + 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 + -6x + -6x = 30 + 6x + -6x

Combine like terms: -6x + -6x = -12x
-6 + -12x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -12x = 30 + 0
-6 + -12x = 30

Add '6' to each side of the equation.
-6 + 6 + -12x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = 30 + 6
-12x = 30 + 6

Combine like terms: 30 + 6 = 36
-12x = 36

Divide each side by '-12'.
x = -3

Simplifying
x = -3