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

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

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

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

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

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

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

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

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

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

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

Solving
-3 + A + a = 3

Solving for variable 'A'.

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

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

Reorder the terms:
-3 + 3 + A + a = 3 + 3

Combine like terms: -3 + 3 = 0
0 + A + a = 3 + 3
A + a = 3 + 3

Combine like terms: 3 + 3 = 6
A + a = 6

Add '-1a' to each side of the equation.
A + a + -1a = 6 + -1a

Combine like terms: a + -1a = 0
A + 0 = 6 + -1a
A = 6 + -1a

Simplifying
A = 6 + -1a