3(n-5)-(5-n)=

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

Simplifying
3(n + -5) + -1(5 + -1n) = 0

Reorder the terms:
3(-5 + n) + -1(5 + -1n) = 0
(-5 * 3 + n * 3) + -1(5 + -1n) = 0
(-15 + 3n) + -1(5 + -1n) = 0
-15 + 3n + (5 * -1 + -1n * -1) = 0
-15 + 3n + (-5 + 1n) = 0

Reorder the terms:
-15 + -5 + 3n + 1n = 0

Combine like terms: -15 + -5 = -20
-20 + 3n + 1n = 0

Combine like terms: 3n + 1n = 4n
-20 + 4n = 0

Solving
-20 + 4n = 0

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 4n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 4n = 0 + 20
4n = 0 + 20

Combine like terms: 0 + 20 = 20
4n = 20

Divide each side by '4'.
n = 5

Simplifying
n = 5