2n+6=3n-8

Solution for 2n+6=3n-8 equation:

Simplifying
2n + 6 = 3n + -8

Reorder the terms:
6 + 2n = 3n + -8

Reorder the terms:
6 + 2n = -8 + 3n

Solving
6 + 2n = -8 + 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 + 2n + -3n = -8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
6 + -1n = -8 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -1n = -8 + 0
6 + -1n = -8

Add '-6' to each side of the equation.
6 + -6 + -1n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = -8 + -6
-1n = -8 + -6

Combine like terms: -8 + -6 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14