A(n)=12+(n-1)(5)

Solution for A(n)=12+(n-1)(5) equation:

Simplifying
A(n) = 12 + (n + -1)(5)

Multiply A * n
nA = 12 + (n + -1)(5)

Reorder the terms:
nA = 12 + (-1 + n)(5)

Reorder the terms for easier multiplication:
nA = 12 + 5(-1 + n)
nA = 12 + (-1 * 5 + n * 5)
nA = 12 + (-5 + 5n)

Combine like terms: 12 + -5 = 7
nA = 7 + 5n

Solving
nA = 7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-5n + nA = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5n + nA = 7 + 0
-5n + nA = 7

Reorder the terms:
-7 + -5n + nA = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -5n + nA = 0

The solution to this equation could not be determined.