3(n+5)=5+n

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

Simplifying
3(n + 5) = 5 + n

Reorder the terms:
3(5 + n) = 5 + n
(5 * 3 + n * 3) = 5 + n
(15 + 3n) = 5 + n

Solving
15 + 3n = 5 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
15 + 3n + -1n = 5 + n + -1n

Combine like terms: 3n + -1n = 2n
15 + 2n = 5 + n + -1n

Combine like terms: n + -1n = 0
15 + 2n = 5 + 0
15 + 2n = 5

Add '-15' to each side of the equation.
15 + -15 + 2n = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = 5 + -15
2n = 5 + -15

Combine like terms: 5 + -15 = -10
2n = -10

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

Simplifying
n = -5