5n-6=3n+18

Solution for 5n-6=3n+18 equation:

Simplifying
5n + -6 = 3n + 18

Reorder the terms:
-6 + 5n = 3n + 18

Reorder the terms:
-6 + 5n = 18 + 3n

Solving
-6 + 5n = 18 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 5n + -3n = 18 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-6 + 2n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 2n = 18 + 0
-6 + 2n = 18

Add '6' to each side of the equation.
-6 + 6 + 2n = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = 18 + 6
2n = 18 + 6

Combine like terms: 18 + 6 = 24
2n = 24

Divide each side by '2'.
n = 12

Simplifying
n = 12