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

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

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

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

Combine like terms: 6x + -2x = 4x
-6 + 4x = 3(x + 1) + x

Reorder the terms:
-6 + 4x = 3(1 + x) + x
-6 + 4x = (1 * 3 + x * 3) + x
-6 + 4x = (3 + 3x) + x

Combine like terms: 3x + x = 4x
-6 + 4x = 3 + 4x

Add '-4x' to each side of the equation.
-6 + 4x + -4x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 0 = 3 + 4x + -4x
-6 = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 = 3 + 0
-6 = 3

Solving
-6 = 3

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.