10n+6=15n-9

Solution for 10n+6=15n-9 equation:

Simplifying
10n + 6 = 15n + -9

Reorder the terms:
6 + 10n = 15n + -9

Reorder the terms:
6 + 10n = -9 + 15n

Solving
6 + 10n = -9 + 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.
6 + 10n + -15n = -9 + 15n + -15n

Combine like terms: 10n + -15n = -5n
6 + -5n = -9 + 15n + -15n

Combine like terms: 15n + -15n = 0
6 + -5n = -9 + 0
6 + -5n = -9

Add '-6' to each side of the equation.
6 + -6 + -5n = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5n = -9 + -6
-5n = -9 + -6

Combine like terms: -9 + -6 = -15
-5n = -15

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

Simplifying
n = 3