3n+6=5n-12

Solution for 3n+6=5n-12 equation:

Simplifying
3n + 6 = 5n + -12

Reorder the terms:
6 + 3n = 5n + -12

Reorder the terms:
6 + 3n = -12 + 5n

Solving
6 + 3n = -12 + 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 + 3n + -5n = -12 + 5n + -5n

Combine like terms: 3n + -5n = -2n
6 + -2n = -12 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -2n = -12 + 0
6 + -2n = -12

Add '-6' to each side of the equation.
6 + -6 + -2n = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -12 + -6
-2n = -12 + -6

Combine like terms: -12 + -6 = -18
-2n = -18

Divide each side by '-2'.
n = 9

Simplifying
n = 9