Variable $x$ cannot be equal to $2$ since division by zero is not defined. Multiply both sides of the equation by $2\left(x-2\right)$, the least common multiple of $4-2x,2$.
$$-\left(4x+5\right)=9\left(x-2\right)$$
To find the opposite of $4x+5$, find the opposite of each term.
$$-4x-5=9\left(x-2\right)$$
Use the distributive property to multiply $9$ by $x-2$.