6(3n+1)=9(6n+5)+5

Solution for 6(3n+1)=9(6n+5)+5 equation:

Simplifying
6(3n + 1) = 9(6n + 5) + 5

Reorder the terms:
6(1 + 3n) = 9(6n + 5) + 5
(1 * 6 + 3n * 6) = 9(6n + 5) + 5
(6 + 18n) = 9(6n + 5) + 5

Reorder the terms:
6 + 18n = 9(5 + 6n) + 5
6 + 18n = (5 * 9 + 6n * 9) + 5
6 + 18n = (45 + 54n) + 5

Reorder the terms:
6 + 18n = 45 + 5 + 54n

Combine like terms: 45 + 5 = 50
6 + 18n = 50 + 54n

Solving
6 + 18n = 50 + 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.
6 + 18n + -54n = 50 + 54n + -54n

Combine like terms: 18n + -54n = -36n
6 + -36n = 50 + 54n + -54n

Combine like terms: 54n + -54n = 0
6 + -36n = 50 + 0
6 + -36n = 50

Add '-6' to each side of the equation.
6 + -6 + -36n = 50 + -6

Combine like terms: 6 + -6 = 0
0 + -36n = 50 + -6
-36n = 50 + -6

Combine like terms: 50 + -6 = 44
-36n = 44

Divide each side by '-36'.
n = -1.222222222

Simplifying
n = -1.222222222