5n+6=6+6n-3

Solution for 5n+6=6+6n-3 equation:

Simplifying
5n + 6 = 6 + 6n + -3

Reorder the terms:
6 + 5n = 6 + 6n + -3

Reorder the terms:
6 + 5n = 6 + -3 + 6n

Combine like terms: 6 + -3 = 3
6 + 5n = 3 + 6n

Solving
6 + 5n = 3 + 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 = 3 + 6n + -6n

Combine like terms: 5n + -6n = -1n
6 + -1n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + -1n = 3 + 0
6 + -1n = 3

Add '-6' to each side of the equation.
6 + -6 + -1n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 3 + -6
-1n = 3 + -6

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

Divide each side by '-1'.
n = 3

Simplifying
n = 3