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

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

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

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

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

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

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

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

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

Combine like terms: a + a = 2a
-1 + 2a = 1

Solving
-1 + 2a = 1

Solving for variable 'a'.

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

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

Combine like terms: -1 + 1 = 0
0 + 2a = 1 + 1
2a = 1 + 1

Combine like terms: 1 + 1 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1