3(2+n)=5n+16

Solution for 3(2+n)=5n+16 equation:

Simplifying
3(2 + n) = 5n + 16
(2 * 3 + n * 3) = 5n + 16
(6 + 3n) = 5n + 16

Reorder the terms:
6 + 3n = 16 + 5n

Solving
6 + 3n = 16 + 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 + 3n + -5n = 16 + 5n + -5n

Combine like terms: 3n + -5n = -2n
6 + -2n = 16 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -2n = 16 + 0
6 + -2n = 16

Add '-6' to each side of the equation.
6 + -6 + -2n = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 16 + -6
-2n = 16 + -6

Combine like terms: 16 + -6 = 10
-2n = 10

Divide each side by '-2'.
n = -5

Simplifying
n = -5