12+3(n-5)=2(N+1)-N-7

Solution for 12+3(n-5)=2(N+1)-N-7 equation:

Simplifying
12 + 3(n + -5) = 2(N + 1) + -1N + -7

Reorder the terms:
12 + 3(-5 + n) = 2(N + 1) + -1N + -7
12 + (-5 * 3 + n * 3) = 2(N + 1) + -1N + -7
12 + (-15 + 3n) = 2(N + 1) + -1N + -7

Combine like terms: 12 + -15 = -3
-3 + 3n = 2(N + 1) + -1N + -7

Reorder the terms:
-3 + 3n = 2(1 + N) + -1N + -7
-3 + 3n = (1 * 2 + N * 2) + -1N + -7
-3 + 3n = (2 + 2N) + -1N + -7

Reorder the terms:
-3 + 3n = 2 + -7 + 2N + -1N

Combine like terms: 2 + -7 = -5
-3 + 3n = -5 + 2N + -1N

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

Solving
-3 + 3n = -5 + 1N

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 3n = -5 + 3 + 1N

Combine like terms: -3 + 3 = 0
0 + 3n = -5 + 3 + 1N
3n = -5 + 3 + 1N

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

Divide each side by '3'.
n = -0.6666666667 + 0.3333333333N

Simplifying
n = -0.6666666667 + 0.3333333333N