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

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

Simplifying
2(3 + 2n) = 5(n + -3)
(3 * 2 + 2n * 2) = 5(n + -3)
(6 + 4n) = 5(n + -3)

Reorder the terms:
6 + 4n = 5(-3 + n)
6 + 4n = (-3 * 5 + n * 5)
6 + 4n = (-15 + 5n)

Solving
6 + 4n = -15 + 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.
6 + 4n + -5n = -15 + 5n + -5n

Combine like terms: 4n + -5n = -1n
6 + -1n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -1n = -15 + 0
6 + -1n = -15

Add '-6' to each side of the equation.
6 + -6 + -1n = -15 + -6

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

Combine like terms: -15 + -6 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21