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

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

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

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

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

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

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

Add '-2x' to each side of the equation.
-3 + 2x + -2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 0 = -1 + 2x + -2x
-3 = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 = -1 + 0
-3 = -1

Solving
-3 = -1

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.