#### Answer

$C=\dfrac{5(F-32)}{9}$

#### Work Step by Step

Using the properties of equality, in terms of $
C
,$ the given formula, $
F=\dfrac{9}{5}C+32
,$ is equivalent to
\begin{array}{l}\require{cancel}
F-32=\dfrac{9}{5}C
\\\\
5(F-32)=9C
\\\\
\dfrac{5(F-32)}{9}=C
\\\\
C=\dfrac{5(F-32)}{9}
.\end{array}