6+8n=5n-3n-12

Solution for 6+8n=5n-3n-12 equation:

Simplifying
6 + 8n = 5n + -3n + -12

Reorder the terms:
6 + 8n = -12 + 5n + -3n

Combine like terms: 5n + -3n = 2n
6 + 8n = -12 + 2n

Solving
6 + 8n = -12 + 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.
6 + 8n + -2n = -12 + 2n + -2n

Combine like terms: 8n + -2n = 6n
6 + 6n = -12 + 2n + -2n

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

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

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

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

Divide each side by '6'.
n = -3

Simplifying
n = -3