Divide $\frac{75076}{3}$ by $\frac{x}{2}$ by multiplying $\frac{75076}{3}$ by the reciprocal of $\frac{x}{2}$.
$$\frac{75076\times 2}{3x}=\frac{4}{5}$$
Multiply $75076$ and $2$ to get $150152$.
$$\frac{150152}{3x}=\frac{4}{5}$$
Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $15x$, the least common multiple of $3x,5$.
$$5\times 150152=12x$$
Multiply $5$ and $150152$ to get $750760$.
$$750760=12x$$
Swap sides so that all variable terms are on the left hand side.
$$12x=750760$$
Divide both sides by $12$.
$$x=\frac{750760}{12}$$
Reduce the fraction $\frac{750760}{12}$ to lowest terms by extracting and canceling out $4$.
