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

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

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

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

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

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

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

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

Solving
6 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.