(x+2)+(x-3)=5

Solution for (x+2)+(x-3)=5 equation:

Simplifying
(x + 2) + (x + -3) = 5

Reorder the terms:
(2 + x) + (x + -3) = 5

Remove parenthesis around (2 + x)
2 + x + (x + -3) = 5

Reorder the terms:
2 + x + (-3 + x) = 5

Remove parenthesis around (-3 + x)
2 + x + -3 + x = 5

Reorder the terms:
2 + -3 + x + x = 5

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

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

Solving
-1 + 2x = 5

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 5 + 1
2x = 5 + 1

Combine like terms: 5 + 1 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3