2(3n+3)=8(3n+4)+5

Solution for 2(3n+3)=8(3n+4)+5 equation:

Simplifying
2(3n + 3) = 8(3n + 4) + 5

Reorder the terms:
2(3 + 3n) = 8(3n + 4) + 5
(3 * 2 + 3n * 2) = 8(3n + 4) + 5
(6 + 6n) = 8(3n + 4) + 5

Reorder the terms:
6 + 6n = 8(4 + 3n) + 5
6 + 6n = (4 * 8 + 3n * 8) + 5
6 + 6n = (32 + 24n) + 5

Reorder the terms:
6 + 6n = 32 + 5 + 24n

Combine like terms: 32 + 5 = 37
6 + 6n = 37 + 24n

Solving
6 + 6n = 37 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
6 + 6n + -24n = 37 + 24n + -24n

Combine like terms: 6n + -24n = -18n
6 + -18n = 37 + 24n + -24n

Combine like terms: 24n + -24n = 0
6 + -18n = 37 + 0
6 + -18n = 37

Add '-6' to each side of the equation.
6 + -6 + -18n = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -18n = 37 + -6
-18n = 37 + -6

Combine like terms: 37 + -6 = 31
-18n = 31

Divide each side by '-18'.
n = -1.722222222

Simplifying
n = -1.722222222