Answer
$$ C=\frac{5}{9} (F - 32) .$$
Work Step by Step
To solve the given equation for $ C$, we multiply both sides by $\frac{5}{9}$ and then we simplify as follows:
$$ F=\frac{9}{5}C+32\Longrightarrow \frac{5}{9} F=C+\frac{5}{9}(32) \Longrightarrow C=\frac{5}{9} F - \frac{5}{9}(32)\\ \Longrightarrow C=\frac{5}{9} (F - 32) .$$