3(2n+2)=8(6n+2)+5

Solution for 3(2n+2)=8(6n+2)+5 equation:

Simplifying
3(2n + 2) = 8(6n + 2) + 5

Reorder the terms:
3(2 + 2n) = 8(6n + 2) + 5
(2 * 3 + 2n * 3) = 8(6n + 2) + 5
(6 + 6n) = 8(6n + 2) + 5

Reorder the terms:
6 + 6n = 8(2 + 6n) + 5
6 + 6n = (2 * 8 + 6n * 8) + 5
6 + 6n = (16 + 48n) + 5

Reorder the terms:
6 + 6n = 16 + 5 + 48n

Combine like terms: 16 + 5 = 21
6 + 6n = 21 + 48n

Solving
6 + 6n = 21 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
6 + 6n + -48n = 21 + 48n + -48n

Combine like terms: 6n + -48n = -42n
6 + -42n = 21 + 48n + -48n

Combine like terms: 48n + -48n = 0
6 + -42n = 21 + 0
6 + -42n = 21

Add '-6' to each side of the equation.
6 + -6 + -42n = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -42n = 21 + -6
-42n = 21 + -6

Combine like terms: 21 + -6 = 15
-42n = 15

Divide each side by '-42'.
n = -0.3571428571

Simplifying
n = -0.3571428571