5n+3(2n-8)=2(n+6)

Solution for 5n+3(2n-8)=2(n+6) equation:

Simplifying
5n + 3(2n + -8) = 2(n + 6)

Reorder the terms:
5n + 3(-8 + 2n) = 2(n + 6)
5n + (-8 * 3 + 2n * 3) = 2(n + 6)
5n + (-24 + 6n) = 2(n + 6)

Reorder the terms:
-24 + 5n + 6n = 2(n + 6)

Combine like terms: 5n + 6n = 11n
-24 + 11n = 2(n + 6)

Reorder the terms:
-24 + 11n = 2(6 + n)
-24 + 11n = (6 * 2 + n * 2)
-24 + 11n = (12 + 2n)

Solving
-24 + 11n = 12 + 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.
-24 + 11n + -2n = 12 + 2n + -2n

Combine like terms: 11n + -2n = 9n
-24 + 9n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-24 + 9n = 12 + 0
-24 + 9n = 12

Add '24' to each side of the equation.
-24 + 24 + 9n = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 9n = 12 + 24
9n = 12 + 24

Combine like terms: 12 + 24 = 36
9n = 36

Divide each side by '9'.
n = 4

Simplifying
n = 4