5n-15=2n+6

Solution for 5n-15=2n+6 equation:

Simplifying
5n + -15 = 2n + 6

Reorder the terms:
-15 + 5n = 2n + 6

Reorder the terms:
-15 + 5n = 6 + 2n

Solving
-15 + 5n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-15 + 5n + -2n = 6 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-15 + 3n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 3n = 6 + 0
-15 + 3n = 6

Add '15' to each side of the equation.
-15 + 15 + 3n = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = 6 + 15
3n = 6 + 15

Combine like terms: 6 + 15 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7