Question

What is the solution to 5n+12=9n-16

Answer 1

`n = 7`

Explanation:

`12 + 16 = 9n - 5n \\ 28 = 4n`

Answer 2

n = 7

Explanation:

5n + 12 = 9n - 16 (Given)

5n + 12 - 12 = 9n - 16 - 12 (Subtraction Property of Equality)

5n = 9n - 28 (Simplify)

5n - 9n = 9n - 9n - 28 (Subtraction Property of Equality)

-4n = -28 (Simplify)

`(-4n)/(-4) = (-28)/(-4)` (Division Property of Equality)

n = 7 (Simplify)