Thinking Mathematically (6th Edition)

$x=\frac{bc}{ad}$.
Simplify the provided expression as follows: \begin{align} & \frac{ax-b}{b}=\frac{c-d}{d} \\ & \frac{ax}{b}-\frac{b}{b}=\frac{c}{d}-\frac{d}{d} \\ & \frac{ax}{b}-1=\frac{c}{d}-1 \\ \end{align} This can be further simplified as: \begin{align} & \frac{ax}{b}=\frac{c}{d}+1-1 \\ & \frac{ax}{b}=\frac{c}{d} \\ & x=\frac{bc}{ad} \\ \end{align} The solution for the provide proportion is$x=\frac{bc}{ad}$.