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

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

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

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

Reorder the terms:
6 + 6n = 6(5 + 8n) + 8
6 + 6n = (5 * 6 + 8n * 6) + 8
6 + 6n = (30 + 48n) + 8

Reorder the terms:
6 + 6n = 30 + 8 + 48n

Combine like terms: 30 + 8 = 38
6 + 6n = 38 + 48n

Solving
6 + 6n = 38 + 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 = 38 + 48n + -48n

Combine like terms: 6n + -48n = -42n
6 + -42n = 38 + 48n + -48n

Combine like terms: 48n + -48n = 0
6 + -42n = 38 + 0
6 + -42n = 38

Add '-6' to each side of the equation.
6 + -6 + -42n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -42n = 38 + -6
-42n = 38 + -6

Combine like terms: 38 + -6 = 32
-42n = 32

Divide each side by '-42'.
n = -0.7619047619

Simplifying
n = -0.7619047619