6(x+1)-2x=2(2x+3)-8

Solution for 6(x+1)-2x=2(2x+3)-8 equation:

Simplifying
6(x + 1) + -2x = 2(2x + 3) + -8

Reorder the terms:
6(1 + x) + -2x = 2(2x + 3) + -8
(1 * 6 + x * 6) + -2x = 2(2x + 3) + -8
(6 + 6x) + -2x = 2(2x + 3) + -8

Combine like terms: 6x + -2x = 4x
6 + 4x = 2(2x + 3) + -8

Reorder the terms:
6 + 4x = 2(3 + 2x) + -8
6 + 4x = (3 * 2 + 2x * 2) + -8
6 + 4x = (6 + 4x) + -8

Reorder the terms:
6 + 4x = 6 + -8 + 4x

Combine like terms: 6 + -8 = -2
6 + 4x = -2 + 4x

Add '-4x' to each side of the equation.
6 + 4x + -4x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 0 = -2 + 4x + -4x
6 = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 = -2 + 0
6 = -2

Solving
6 = -2

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.