(2n+6)=5n-12-n

Solution for (2n+6)=5n-12-n equation:

Simplifying
(2n + 6) = 5n + -12 + -1n

Reorder the terms:
(6 + 2n) = 5n + -12 + -1n

Remove parenthesis around (6 + 2n)
6 + 2n = 5n + -12 + -1n

Reorder the terms:
6 + 2n = -12 + 5n + -1n

Combine like terms: 5n + -1n = 4n
6 + 2n = -12 + 4n

Solving
6 + 2n = -12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 2n + -4n = -12 + 4n + -4n

Combine like terms: 2n + -4n = -2n
6 + -2n = -12 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -2n = -12 + 0
6 + -2n = -12

Add '-6' to each side of the equation.
6 + -6 + -2n = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -12 + -6
-2n = -12 + -6

Combine like terms: -12 + -6 = -18
-2n = -18

Divide each side by '-2'.
n = 9

Simplifying
n = 9