3(A+2)-2(A-3)=0

Solution for 3(A+2)-2(A-3)=0 equation:

Simplifying
3(A + 2) + -2(A + -3) = 0

Reorder the terms:
3(2 + A) + -2(A + -3) = 0
(2 * 3 + A * 3) + -2(A + -3) = 0
(6 + 3A) + -2(A + -3) = 0

Reorder the terms:
6 + 3A + -2(-3 + A) = 0
6 + 3A + (-3 * -2 + A * -2) = 0
6 + 3A + (6 + -2A) = 0

Reorder the terms:
6 + 6 + 3A + -2A = 0

Combine like terms: 6 + 6 = 12
12 + 3A + -2A = 0

Combine like terms: 3A + -2A = 1A
12 + 1A = 0

Solving
12 + 1A = 0

Solving for variable 'A'.

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

Add '-12' to each side of the equation.
12 + -12 + 1A = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 1A = 0 + -12
1A = 0 + -12

Combine like terms: 0 + -12 = -12
1A = -12

Divide each side by '1'.
A = -12

Simplifying
A = -12