37=5+(n-1)2

Solution for 37=5+(n-1)2 equation:

Simplifying
37 = 5 + (n + -1) * 2

Reorder the terms:
37 = 5 + (-1 + n) * 2

Reorder the terms for easier multiplication:
37 = 5 + 2(-1 + n)
37 = 5 + (-1 * 2 + n * 2)
37 = 5 + (-2 + 2n)

Combine like terms: 5 + -2 = 3
37 = 3 + 2n

Solving
37 = 3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
37 + -2n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
37 + -2n = 3 + 0
37 + -2n = 3

Add '-37' to each side of the equation.
37 + -37 + -2n = 3 + -37

Combine like terms: 37 + -37 = 0
0 + -2n = 3 + -37
-2n = 3 + -37

Combine like terms: 3 + -37 = -34
-2n = -34

Divide each side by '-2'.
n = 17

Simplifying
n = 17