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

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

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

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

Reorder the terms:
-2 + 2n + 2(-2 + n) = 5
-2 + 2n + (-2 * 2 + n * 2) = 5
-2 + 2n + (-4 + 2n) = 5

Reorder the terms:
-2 + -4 + 2n + 2n = 5

Combine like terms: -2 + -4 = -6
-6 + 2n + 2n = 5

Combine like terms: 2n + 2n = 4n
-6 + 4n = 5

Solving
-6 + 4n = 5

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 4n = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 5 + 6
4n = 5 + 6

Combine like terms: 5 + 6 = 11
4n = 11

Divide each side by '4'.
n = 2.75

Simplifying
n = 2.75