Let $\left|\begin{array}{rr}3 x & -7 \\ 1 & 4\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & x\end{array}\right|$, then value of $x$ is:

$\frac{-5}{3}$ 1 -1 $\frac{2}{7}$

$\frac{-5}{3}$

The correct answer is Option (1) - $\frac{-5}{3}$