5(2n+3)=9(6n+3)+8

Solution for 5(2n+3)=9(6n+3)+8 equation:

Simplifying
5(2n + 3) = 9(6n + 3) + 8

Reorder the terms:
5(3 + 2n) = 9(6n + 3) + 8
(3 * 5 + 2n * 5) = 9(6n + 3) + 8
(15 + 10n) = 9(6n + 3) + 8

Reorder the terms:
15 + 10n = 9(3 + 6n) + 8
15 + 10n = (3 * 9 + 6n * 9) + 8
15 + 10n = (27 + 54n) + 8

Reorder the terms:
15 + 10n = 27 + 8 + 54n

Combine like terms: 27 + 8 = 35
15 + 10n = 35 + 54n

Solving
15 + 10n = 35 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
15 + 10n + -54n = 35 + 54n + -54n

Combine like terms: 10n + -54n = -44n
15 + -44n = 35 + 54n + -54n

Combine like terms: 54n + -54n = 0
15 + -44n = 35 + 0
15 + -44n = 35

Add '-15' to each side of the equation.
15 + -15 + -44n = 35 + -15

Combine like terms: 15 + -15 = 0
0 + -44n = 35 + -15
-44n = 35 + -15

Combine like terms: 35 + -15 = 20
-44n = 20

Divide each side by '-44'.
n = -0.4545454545

Simplifying
n = -0.4545454545