4n+6=2n+14

Solution for 4n+6=2n+14 equation:

Simplifying
4n + 6 = 2n + 14

Reorder the terms:
6 + 4n = 2n + 14

Reorder the terms:
6 + 4n = 14 + 2n

Solving
6 + 4n = 14 + 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 + 4n + -2n = 14 + 2n + -2n

Combine like terms: 4n + -2n = 2n
6 + 2n = 14 + 2n + -2n

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

Divide each side by '2'.
n = 4

Simplifying
n = 4