6x+6=2(4x-16)

Solution for 6x+6=2(4x-16) equation:

Simplifying
6x + 6 = 2(4x + -16)

Reorder the terms:
6 + 6x = 2(4x + -16)

Reorder the terms:
6 + 6x = 2(-16 + 4x)
6 + 6x = (-16 * 2 + 4x * 2)
6 + 6x = (-32 + 8x)

Solving
6 + 6x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 6x + -8x = -32 + 8x + -8x

Combine like terms: 6x + -8x = -2x
6 + -2x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -2x = -32 + 0
6 + -2x = -32

Add '-6' to each side of the equation.
6 + -6 + -2x = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -32 + -6
-2x = -32 + -6

Combine like terms: -32 + -6 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19