9(n-12)=5(n)

Solution for 9(n-12)=5(n) equation:

Simplifying
9(n + -12) = 5(n)

Reorder the terms:
9(-12 + n) = 5(n)
(-12 * 9 + n * 9) = 5(n)
(-108 + 9n) = 5(n)

Solving
-108 + 9n = 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.
-108 + 9n + -5n = 5n + -5n

Combine like terms: 9n + -5n = 4n
-108 + 4n = 5n + -5n

Combine like terms: 5n + -5n = 0
-108 + 4n = 0

Add '108' to each side of the equation.
-108 + 108 + 4n = 0 + 108

Combine like terms: -108 + 108 = 0
0 + 4n = 0 + 108
4n = 0 + 108

Combine like terms: 0 + 108 = 108
4n = 108

Divide each side by '4'.
n = 27

Simplifying
n = 27