n+6=3n-14

Solution for n+6=3n-14 equation:

Simplifying
n + 6 = 3n + -14

Reorder the terms:
6 + n = 3n + -14

Reorder the terms:
6 + n = -14 + 3n

Solving
6 + n = -14 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + n + -3n = -14 + 3n + -3n

Combine like terms: n + -3n = -2n
6 + -2n = -14 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -2n = -14 + 0
6 + -2n = -14

Add '-6' to each side of the equation.
6 + -6 + -2n = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -14 + -6
-2n = -14 + -6

Combine like terms: -14 + -6 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10