15+2(n-8)=3(2n+5)

Solution for 15+2(n-8)=3(2n+5) equation:

Simplifying
15 + 2(n + -8) = 3(2n + 5)

Reorder the terms:
15 + 2(-8 + n) = 3(2n + 5)
15 + (-8 * 2 + n * 2) = 3(2n + 5)
15 + (-16 + 2n) = 3(2n + 5)

Combine like terms: 15 + -16 = -1
-1 + 2n = 3(2n + 5)

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

Solving
-1 + 2n = 15 + 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.
-1 + 2n + -6n = 15 + 6n + -6n

Combine like terms: 2n + -6n = -4n
-1 + -4n = 15 + 6n + -6n

Combine like terms: 6n + -6n = 0
-1 + -4n = 15 + 0
-1 + -4n = 15

Add '1' to each side of the equation.
-1 + 1 + -4n = 15 + 1

Combine like terms: -1 + 1 = 0
0 + -4n = 15 + 1
-4n = 15 + 1

Combine like terms: 15 + 1 = 16
-4n = 16

Divide each side by '-4'.
n = -4

Simplifying
n = -4