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

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

Simplifying
8(2n + -3) + -1n = 3(3n + 2)

Reorder the terms:
8(-3 + 2n) + -1n = 3(3n + 2)
(-3 * 8 + 2n * 8) + -1n = 3(3n + 2)
(-24 + 16n) + -1n = 3(3n + 2)

Combine like terms: 16n + -1n = 15n
-24 + 15n = 3(3n + 2)

Reorder the terms:
-24 + 15n = 3(2 + 3n)
-24 + 15n = (2 * 3 + 3n * 3)
-24 + 15n = (6 + 9n)

Solving
-24 + 15n = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-24 + 15n + -9n = 6 + 9n + -9n

Combine like terms: 15n + -9n = 6n
-24 + 6n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-24 + 6n = 6 + 0
-24 + 6n = 6

Add '24' to each side of the equation.
-24 + 24 + 6n = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 6n = 6 + 24
6n = 6 + 24

Combine like terms: 6 + 24 = 30
6n = 30

Divide each side by '6'.
n = 5

Simplifying
n = 5