To determine how many compact discs (x) Henry purchased, we start by noting that he spent a total of $112, and each compact disc costs $16. The relationship can be expressed as:
Total cost = Number of CDs × Cost per CD.
In this case, it translates into the equation:
\[ 112 = 16x \]
where \( x \) is the number of compact discs.
Among the provided options, the correct equation is:
$112 = $16 x