9n-6=5n+6

Solution for 9n-6=5n+6 equation:

Simplifying
9n + -6 = 5n + 6

Reorder the terms:
-6 + 9n = 5n + 6

Reorder the terms:
-6 + 9n = 6 + 5n

Solving
-6 + 9n = 6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 9n + -5n = 6 + 5n + -5n

Combine like terms: 9n + -5n = 4n
-6 + 4n = 6 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 4n = 6 + 0
-6 + 4n = 6

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

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

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

Divide each side by '4'.
n = 3

Simplifying
n = 3