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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.