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

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


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

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

Reorder the terms:
15 + 6n = 5(5 + n) + 6
15 + 6n = (5 * 5 + n * 5) + 6
15 + 6n = (25 + 5n) + 6

Reorder the terms:
15 + 6n = 25 + 6 + 5n

Combine like terms: 25 + 6 = 31
15 + 6n = 31 + 5n

Solving
15 + 6n = 31 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
15 + 6n + -5n = 31 + 5n + -5n

Combine like terms: 6n + -5n = 1n
15 + 1n = 31 + 5n + -5n

Combine like terms: 5n + -5n = 0
15 + 1n = 31 + 0
15 + 1n = 31

Add '-15' to each side of the equation.
15 + -15 + 1n = 31 + -15

Combine like terms: 15 + -15 = 0
0 + 1n = 31 + -15
1n = 31 + -15

Combine like terms: 31 + -15 = 16
1n = 16

Divide each side by '1'.
n = 16

Simplifying
n = 16

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