2(n+3)=14-2n

Solution for 2(n+3)=14-2n equation:

Simplifying
2(n + 3) = 14 + -2n

Reorder the terms:
2(3 + n) = 14 + -2n
(3 * 2 + n * 2) = 14 + -2n
(6 + 2n) = 14 + -2n

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

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

Combine like terms: -2n + 2n = 0
6 + 4n = 14 + 0
6 + 4n = 14

Add '-6' to each side of the equation.
6 + -6 + 4n = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 14 + -6
4n = 14 + -6

Combine like terms: 14 + -6 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2