3(n+2)=-3+2(n-1)

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

Simplifying
3(n + 2) = -3 + 2(n + -1)

Reorder the terms:
3(2 + n) = -3 + 2(n + -1)
(2 * 3 + n * 3) = -3 + 2(n + -1)
(6 + 3n) = -3 + 2(n + -1)

Reorder the terms:
6 + 3n = -3 + 2(-1 + n)
6 + 3n = -3 + (-1 * 2 + n * 2)
6 + 3n = -3 + (-2 + 2n)

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

Solving
6 + 3n = -5 + 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 = -5 + 2n + -2n

Combine like terms: 3n + -2n = 1n
6 + 1n = -5 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 1n = -5 + 0
6 + 1n = -5

Add '-6' to each side of the equation.
6 + -6 + 1n = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = -5 + -6
1n = -5 + -6

Combine like terms: -5 + -6 = -11
1n = -11

Divide each side by '1'.
n = -11

Simplifying
n = -11