2(x-3)-3(x-1)=5-x

Solution for 2(x-3)-3(x-1)=5-x equation:

Simplifying
2(x + -3) + -3(x + -1) = 5 + -1x

Reorder the terms:
2(-3 + x) + -3(x + -1) = 5 + -1x
(-3 * 2 + x * 2) + -3(x + -1) = 5 + -1x
(-6 + 2x) + -3(x + -1) = 5 + -1x

Reorder the terms:
-6 + 2x + -3(-1 + x) = 5 + -1x
-6 + 2x + (-1 * -3 + x * -3) = 5 + -1x
-6 + 2x + (3 + -3x) = 5 + -1x

Reorder the terms:
-6 + 3 + 2x + -3x = 5 + -1x

Combine like terms: -6 + 3 = -3
-3 + 2x + -3x = 5 + -1x

Combine like terms: 2x + -3x = -1x
-3 + -1x = 5 + -1x

Add 'x' to each side of the equation.
-3 + -1x + x = 5 + -1x + x

Combine like terms: -1x + x = 0
-3 + 0 = 5 + -1x + x
-3 = 5 + -1x + x

Combine like terms: -1x + x = 0
-3 = 5 + 0
-3 = 5

Solving
-3 = 5

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.