3(n+2)-8n=2(n+6)

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

Simplifying
3(n + 2) + -8n = 2(n + 6)

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

Combine like terms: 3n + -8n = -5n
6 + -5n = 2(n + 6)

Reorder the terms:
6 + -5n = 2(6 + n)
6 + -5n = (6 * 2 + n * 2)
6 + -5n = (12 + 2n)

Solving
6 + -5n = 12 + 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 + -5n + -2n = 12 + 2n + -2n

Combine like terms: -5n + -2n = -7n
6 + -7n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + -7n = 12 + 0
6 + -7n = 12

Add '-6' to each side of the equation.
6 + -6 + -7n = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -7n = 12 + -6
-7n = 12 + -6

Combine like terms: 12 + -6 = 6
-7n = 6

Divide each side by '-7'.
n = -0.8571428571

Simplifying
n = -0.8571428571