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

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

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

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

Reorder the terms:
6 + 3n = 2(-2 + n) + 3
6 + 3n = (-2 * 2 + n * 2) + 3
6 + 3n = (-4 + 2n) + 3

Reorder the terms:
6 + 3n = -4 + 3 + 2n

Combine like terms: -4 + 3 = -1
6 + 3n = -1 + 2n

Solving
6 + 3n = -1 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 3n + -2n = -1 + 2n + -2n

Combine like terms: 3n + -2n = 1n
6 + 1n = -1 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 1n = -1 + 0
6 + 1n = -1

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

Combine like terms: 6 + -6 = 0
0 + 1n = -1 + -6
1n = -1 + -6

Combine like terms: -1 + -6 = -7
1n = -7

Divide each side by '1'.
n = -7

Simplifying
n = -7