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

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

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

Reorder the terms:
3(2 + n) + 2(n + -3) = 5
(2 * 3 + n * 3) + 2(n + -3) = 5
(6 + 3n) + 2(n + -3) = 5

Reorder the terms:
6 + 3n + 2(-3 + n) = 5
6 + 3n + (-3 * 2 + n * 2) = 5
6 + 3n + (-6 + 2n) = 5

Reorder the terms:
6 + -6 + 3n + 2n = 5

Combine like terms: 6 + -6 = 0
0 + 3n + 2n = 5
3n + 2n = 5

Combine like terms: 3n + 2n = 5n
5n = 5

Solving
5n = 5

Solving for variable 'n'.

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

Divide each side by '5'.
n = 1

Simplifying
n = 1