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

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

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

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

Remove parenthesis around (2 + x)
2 + x + -1(x + -3) = x

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

Reorder the terms:
2 + 3 + x + -1x = x

Combine like terms: 2 + 3 = 5
5 + x + -1x = x

Combine like terms: x + -1x = 0
5 + 0 = x
5 = x

Solving
5 = x

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.
5 + -1x = x + -1x

Combine like terms: x + -1x = 0
5 + -1x = 0

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5