Suppose I have two units, Tonks, $T$, and Borks, $B$, as well as the equation $\frac{50T}{20B}=x$. May I manipulate the equation as though $T$ and $B$ were the kinds of symbols that we learned to manipulate in math class? For example:
$\frac{50T}{20B}=x$
$50T=20Bx$
$\frac{50T}{20}=Bx$\begin{align} \frac{50T}{20B}&=x\\ 50T&=20Bx\\ \frac{50T}{20}&=Bx\\ \end{align}