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

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

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

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

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

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

Combine like terms: 3 + -6 = -3
-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.