Variable $x$ cannot be equal to $-2$ since division by zero is not defined. Multiply both sides of the equation by $4\left(x+2\right)$, the least common multiple of $x+2,4$.
$$4+4\left(x+2\right)\times 2=9\left(x+2\right)$$
Multiply $4$ and $2$ to get $8$.
$$4+8\left(x+2\right)=9\left(x+2\right)$$
Use the distributive property to multiply $8$ by $x+2$.
$$4+8x+16=9\left(x+2\right)$$
Add $4$ and $16$ to get $20$.
$$20+8x=9\left(x+2\right)$$
Use the distributive property to multiply $9$ by $x+2$.
