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

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

Multiply 2 * 2
4(-1 + n) + (n + -2) = 5
(-1 * 4 + n * 4) + (n + -2) = 5
(-4 + 4n) + (n + -2) = 5

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

Remove parenthesis around (-2 + n)
-4 + 4n + -2 + n = 5

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

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

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

Solving
-6 + 5n = 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 + 5n = 5 + 6

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

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

Divide each side by '5'.
n = 2.2

Simplifying
n = 2.2