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

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

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

Reorder the terms:
-5 + n + 1n = 3(n + 8)

Combine like terms: n + 1n = 2n
-5 + 2n = 3(n + 8)

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

Solving
-5 + 2n = 24 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-5 + 2n + -3n = 24 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-5 + -1n = 24 + 3n + -3n

Combine like terms: 3n + -3n = 0
-5 + -1n = 24 + 0
-5 + -1n = 24

Add '5' to each side of the equation.
-5 + 5 + -1n = 24 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = 24 + 5
-1n = 24 + 5

Combine like terms: 24 + 5 = 29
-1n = 29

Divide each side by '-1'.
n = -29

Simplifying
n = -29