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

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

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

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

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

Solving
15 + 5n = 3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
15 + 5n + -6n = 3 + 6n + -6n

Combine like terms: 5n + -6n = -1n
15 + -1n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
15 + -1n = 3 + 0
15 + -1n = 3

Add '-15' to each side of the equation.
15 + -15 + -1n = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 3 + -15
-1n = 3 + -15

Combine like terms: 3 + -15 = -12
-1n = -12

Divide each side by '-1'.
n = 12

Simplifying
n = 12