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