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

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

Simplifying
2(n + -1) + 2(n + -5) = 5

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

Reorder the terms:
-2 + 2n + 2(-5 + n) = 5
-2 + 2n + (-5 * 2 + n * 2) = 5
-2 + 2n + (-10 + 2n) = 5

Reorder the terms:
-2 + -10 + 2n + 2n = 5

Combine like terms: -2 + -10 = -12
-12 + 2n + 2n = 5

Combine like terms: 2n + 2n = 4n
-12 + 4n = 5

Solving
-12 + 4n = 5

Solving for variable 'n'.

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

Add '12' to each side of the equation.
-12 + 12 + 4n = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 4n = 5 + 12
4n = 5 + 12

Combine like terms: 5 + 12 = 17
4n = 17

Divide each side by '4'.
n = 4.25

Simplifying
n = 4.25