5n+6=27-2n

Solution for 5n+6=27-2n equation:

Simplifying
5n + 6 = 27 + -2n

Reorder the terms:
6 + 5n = 27 + -2n

Solving
6 + 5n = 27 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
6 + 5n + 2n = 27 + -2n + 2n

Combine like terms: 5n + 2n = 7n
6 + 7n = 27 + -2n + 2n

Combine like terms: -2n + 2n = 0
6 + 7n = 27 + 0
6 + 7n = 27

Add '-6' to each side of the equation.
6 + -6 + 7n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 27 + -6
7n = 27 + -6

Combine like terms: 27 + -6 = 21
7n = 21

Divide each side by '7'.
n = 3

Simplifying
n = 3