Variable $x$ cannot be equal to $-\frac{9}{5}$ since division by zero is not defined. Multiply both sides of the equation by $18\left(5x+9\right)$, the least common multiple of $5x+9,18$.
$$18\times 3x=\left(5x+9\right)\times 8$$
Multiply $18$ and $3$ to get $54$.
$$54x=\left(5x+9\right)\times 8$$
Use the distributive property to multiply $5x+9$ by $8$.
$$54x=40x+72$$
Subtract $40x$ from both sides.
$$54x-40x=72$$
Combine $54x$ and $-40x$ to get $14x$.
$$14x=72$$
Divide both sides by $14$.
$$x=\frac{72}{14}$$
Reduce the fraction $\frac{72}{14}$ to lowest terms by extracting and canceling out $2$.
