2x-6=6(1+x)

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

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

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

Solving
-6 + 2x = 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 + 2x + -6x = 6 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 6 + 0
-6 + -4x = 6

Add '6' to each side of the equation.
-6 + 6 + -4x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 6 + 6
-4x = 6 + 6

Combine like terms: 6 + 6 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3