2(3+n)+1(n-8)=5

Solution for 2(3+n)+1(n-8)=5 equation:

Simplifying
2(3 + n) + 1(n + -8) = 5
(3 * 2 + n * 2) + 1(n + -8) = 5
(6 + 2n) + 1(n + -8) = 5

Reorder the terms:
6 + 2n + 1(-8 + n) = 5
6 + 2n + (-8 * 1 + n * 1) = 5
6 + 2n + (-8 + 1n) = 5

Reorder the terms:
6 + -8 + 2n + 1n = 5

Combine like terms: 6 + -8 = -2
-2 + 2n + 1n = 5

Combine like terms: 2n + 1n = 3n
-2 + 3n = 5

Solving
-2 + 3n = 5

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 3n = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 3n = 5 + 2
3n = 5 + 2

Combine like terms: 5 + 2 = 7
3n = 7

Divide each side by '3'.
n = 2.333333333

Simplifying
n = 2.333333333