Variable $x$ cannot be equal to $\frac{5}{3}$ since division by zero is not defined. Multiply both sides of the equation by $2\left(3x-5\right)$, the least common multiple of $3x-5,2$.
$$2\left(4x-5\right)=3\left(3x-5\right)$$
Use the distributive property to multiply $2$ by $4x-5$.
$$8x-10=3\left(3x-5\right)$$
Use the distributive property to multiply $3$ by $3x-5$.
