2-(x-1)=3-x

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

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