6n+6=5n-15

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

Simplifying
6n + 6 = 5n + -15

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

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

Solving
6 + 6n = -15 + 5n

Solving for variable 'n'.

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

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

Combine like terms: 6n + -5n = 1n
6 + 1n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + 1n = -15 + 0
6 + 1n = -15

Add '-6' to each side of the equation.
6 + -6 + 1n = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = -15 + -6
1n = -15 + -6

Combine like terms: -15 + -6 = -21
1n = -21

Divide each side by '1'.
n = -21

Simplifying
n = -21