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

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

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

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

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

Reorder the terms:
4 + -1x = 2(1 + x) + -1x
4 + -1x = (1 * 2 + x * 2) + -1x
4 + -1x = (2 + 2x) + -1x

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

Solving
4 + -1x = 2 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
4 + -1x + -1x = 2 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
4 + -2x = 2 + 0
4 + -2x = 2

Add '-4' to each side of the equation.
4 + -4 + -2x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 2 + -4
-2x = 2 + -4

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1