Answer
$x=\frac{8}{21}$
Work Step by Step
We are given the equation $\frac{7}{2}x=\frac{4}{3}$.
Multiply both sides by $\frac{2}{7}$.
$(\frac{7}{2}x\times\frac{2}{7})=x=\frac{4}{3}\times\frac{2}{7}=\frac{4\times2}{3\times7}=\frac{8}{21}$
$x=\frac{8}{21}$