3(n+5)=2n-1

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

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

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

Reorder the terms:
15 + 3n = -1 + 2n

Solving
15 + 3n = -1 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
15 + 3n + -2n = -1 + 2n + -2n

Combine like terms: 3n + -2n = 1n
15 + 1n = -1 + 2n + -2n

Combine like terms: 2n + -2n = 0
15 + 1n = -1 + 0
15 + 1n = -1

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

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

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

Divide each side by '1'.
n = -16

Simplifying
n = -16