-108=-4x+6(1+7x)

Solution for -108=-4x+6(1+7x) equation:

Simplifying
-108 = -4x + 6(1 + 7x)
-108 = -4x + (1 * 6 + 7x * 6)
-108 = -4x + (6 + 42x)

Reorder the terms:
-108 = 6 + -4x + 42x

Combine like terms: -4x + 42x = 38x
-108 = 6 + 38x

Solving
-108 = 6 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
-108 + -38x = 6 + 38x + -38x

Combine like terms: 38x + -38x = 0
-108 + -38x = 6 + 0
-108 + -38x = 6

Add '108' to each side of the equation.
-108 + 108 + -38x = 6 + 108

Combine like terms: -108 + 108 = 0
0 + -38x = 6 + 108
-38x = 6 + 108

Combine like terms: 6 + 108 = 114
-38x = 114

Divide each side by '-38'.
x = -3

Simplifying
x = -3