3(2n+5)+2(2n+1)=37

Solution for 3(2n+5)+2(2n+1)=37 equation:

Simplifying
3(2n + 5) + 2(2n + 1) = 37

Reorder the terms:
3(5 + 2n) + 2(2n + 1) = 37
(5 * 3 + 2n * 3) + 2(2n + 1) = 37
(15 + 6n) + 2(2n + 1) = 37

Reorder the terms:
15 + 6n + 2(1 + 2n) = 37
15 + 6n + (1 * 2 + 2n * 2) = 37
15 + 6n + (2 + 4n) = 37

Reorder the terms:
15 + 2 + 6n + 4n = 37

Combine like terms: 15 + 2 = 17
17 + 6n + 4n = 37

Combine like terms: 6n + 4n = 10n
17 + 10n = 37

Solving
17 + 10n = 37

Solving for variable 'n'.

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

Add '-17' to each side of the equation.
17 + -17 + 10n = 37 + -17

Combine like terms: 17 + -17 = 0
0 + 10n = 37 + -17
10n = 37 + -17

Combine like terms: 37 + -17 = 20
10n = 20

Divide each side by '10'.
n = 2

Simplifying
n = 2