6(x+1)=-x+3(2x-2)

Solution for 6(x+1)=-x+3(2x-2) equation:

Simplifying
6(x + 1) = -1x + 3(2x + -2)

Reorder the terms:
6(1 + x) = -1x + 3(2x + -2)
(1 * 6 + x * 6) = -1x + 3(2x + -2)
(6 + 6x) = -1x + 3(2x + -2)

Reorder the terms:
6 + 6x = -1x + 3(-2 + 2x)
6 + 6x = -1x + (-2 * 3 + 2x * 3)
6 + 6x = -1x + (-6 + 6x)

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

Combine like terms: -1x + 6x = 5x
6 + 6x = -6 + 5x

Solving
6 + 6x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = -6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = -6 + 0
6 + 1x = -6

Add '-6' to each side of the equation.
6 + -6 + 1x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -6 + -6
1x = -6 + -6

Combine like terms: -6 + -6 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12