2(n+3)=8n-14

Solution for 2(n+3)=8n-14 equation:

Simplifying
2(n + 3) = 8n + -14

Reorder the terms:
2(3 + n) = 8n + -14
(3 * 2 + n * 2) = 8n + -14
(6 + 2n) = 8n + -14

Reorder the terms:
6 + 2n = -14 + 8n

Solving
6 + 2n = -14 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 2n + -8n = -14 + 8n + -8n

Combine like terms: 2n + -8n = -6n
6 + -6n = -14 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -6n = -14 + 0
6 + -6n = -14

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

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

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

Divide each side by '-6'.
n = 3.333333333

Simplifying
n = 3.333333333