9(8-n)=5(3n)

Solution for 9(8-n)=5(3n) equation:

Simplifying
9(8 + -1n) = 5(3n)
(8 * 9 + -1n * 9) = 5(3n)
(72 + -9n) = 5(3n)

Remove parenthesis around (3n)
72 + -9n = 5 * 3n

Multiply 5 * 3
72 + -9n = 15n

Solving
72 + -9n = 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
72 + -9n + -15n = 15n + -15n

Combine like terms: -9n + -15n = -24n
72 + -24n = 15n + -15n

Combine like terms: 15n + -15n = 0
72 + -24n = 0

Add '-72' to each side of the equation.
72 + -72 + -24n = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -24n = 0 + -72
-24n = 0 + -72

Combine like terms: 0 + -72 = -72
-24n = -72

Divide each side by '-24'.
n = 3

Simplifying
n = 3