Variable $x$ cannot be equal to $\frac{2}{3}$ since division by zero is not defined. Multiply both sides of the equation by $10\left(3x-2\right)$, the least common multiple of $3x-2,10$.
$$10\left(2x+1\right)=9\left(3x-2\right)$$
Use the distributive property to multiply $10$ by $2x+1$.
$$20x+10=9\left(3x-2\right)$$
Use the distributive property to multiply $9$ by $3x-2$.
