4n+5n+15=5n+7n

Solution for 4n+5n+15=5n+7n equation:

Simplifying
4n + 5n + 15 = 5n + 7n

Reorder the terms:
15 + 4n + 5n = 5n + 7n

Combine like terms: 4n + 5n = 9n
15 + 9n = 5n + 7n

Combine like terms: 5n + 7n = 12n
15 + 9n = 12n

Solving
15 + 9n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
15 + 9n + -12n = 12n + -12n

Combine like terms: 9n + -12n = -3n
15 + -3n = 12n + -12n

Combine like terms: 12n + -12n = 0
15 + -3n = 0

Add '-15' to each side of the equation.
15 + -15 + -3n = 0 + -15

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

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

Divide each side by '-3'.
n = 5

Simplifying
n = 5