Variable $x$ cannot be equal to $3$ since division by zero is not defined. Multiply both sides of the equation by $2\left(x-3\right)$, the least common multiple of $x-3,2$.
$$2\left(2x-8\right)=3\left(x-3\right)$$
Use the distributive property to multiply $2$ by $2x-8$.
$$4x-16=3\left(x-3\right)$$
Use the distributive property to multiply $3$ by $x-3$.
