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

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

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

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

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

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

Add '-2x' to each side of the equation.
6 + 2x + -2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 0 = 3 + 2x + -2x
6 = 3 + 2x + -2x

Combine like terms: 2x + -2x = 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.