5n+6=6n-2

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

Simplifying
5n + 6 = 6n + -2

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

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

Solving
6 + 5n = -2 + 6n

Solving for variable 'n'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -1n = -2 + -6

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

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

Divide each side by '-1'.
n = 8

Simplifying
n = 8