(3n+6)=(n+2)

Solution for (3n+6)=(n+2) equation:

Simplifying
(3n + 6) = (n + 2)

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

Remove parenthesis around (6 + 3n)
6 + 3n = (n + 2)

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

Remove parenthesis around (2 + n)
6 + 3n = 2 + n

Solving
6 + 3n = 2 + 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 = 2 + n + -1n

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

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

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

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

Combine like terms: 2 + -6 = -4
2n = -4

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

Simplifying
n = -2