Variable $x$ cannot be equal to $\frac{4}{3}$ since division by zero is not defined. Multiply both sides of the equation by $5\left(3x-4\right)$, the least common multiple of $3x-4,5$.
$$5\left(5x+1\right)=16\left(3x-4\right)$$
Use the distributive property to multiply $5$ by $5x+1$.
$$25x+5=16\left(3x-4\right)$$
Use the distributive property to multiply $16$ by $3x-4$.
