3(n+2)=n+8

Solution for 3(n+2)=n+8 equation:

Simplifying
3(n + 2) = n + 8

Reorder the terms:
3(2 + n) = n + 8
(2 * 3 + n * 3) = n + 8
(6 + 3n) = n + 8

Reorder the terms:
6 + 3n = 8 + n

Solving
6 + 3n = 8 + 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.
6 + 3n + -1n = 8 + n + -1n

Combine like terms: 3n + -1n = 2n
6 + 2n = 8 + n + -1n

Combine like terms: n + -1n = 0
6 + 2n = 8 + 0
6 + 2n = 8

Add '-6' to each side of the equation.
6 + -6 + 2n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 8 + -6
2n = 8 + -6

Combine like terms: 8 + -6 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1