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

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

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

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

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

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

Combine like terms: a + a = 2a
-3 + 2a = (a + 2)

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

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

Solving
-3 + 2a = 2 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-3 + 2a + -1a = 2 + a + -1a

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

Combine like terms: a + -1a = 0
-3 + 1a = 2 + 0
-3 + 1a = 2

Add '3' to each side of the equation.
-3 + 3 + 1a = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 1a = 2 + 3
1a = 2 + 3

Combine like terms: 2 + 3 = 5
1a = 5

Divide each side by '1'.
a = 5

Simplifying
a = 5