Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $4x$, the least common multiple of $4,x$.
$$x\times 12=4\times 8$$
Multiply $4$ and $8$ to get $32$.
$$x\times 12=32$$
Divide both sides by $12$.
$$x=\frac{32}{12}$$
Reduce the fraction $\frac{32}{12}$ to lowest terms by extracting and canceling out $4$.