3(n+n+2)=18+5(n+4)

Solution for 3(n+n+2)=18+5(n+4) equation:

Simplifying
3(n + n + 2) = 18 + 5(n + 4)

Reorder the terms:
3(2 + n + n) = 18 + 5(n + 4)

Combine like terms: n + n = 2n
3(2 + 2n) = 18 + 5(n + 4)
(2 * 3 + 2n * 3) = 18 + 5(n + 4)
(6 + 6n) = 18 + 5(n + 4)

Reorder the terms:
6 + 6n = 18 + 5(4 + n)
6 + 6n = 18 + (4 * 5 + n * 5)
6 + 6n = 18 + (20 + 5n)

Combine like terms: 18 + 20 = 38
6 + 6n = 38 + 5n

Solving
6 + 6n = 38 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 6n + -5n = 38 + 5n + -5n

Combine like terms: 6n + -5n = 1n
6 + 1n = 38 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + 1n = 38 + 0
6 + 1n = 38

Add '-6' to each side of the equation.
6 + -6 + 1n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 38 + -6
1n = 38 + -6

Combine like terms: 38 + -6 = 32
1n = 32

Divide each side by '1'.
n = 32

Simplifying
n = 32