Answer
$-15x-10$
Work Step by Step
Step 1: Let the unknown number here be $x.$
Step 2: The sum of the number and $\frac{2}{3}$ means $(x+\frac{2}{3}).$
Step 3: The product of -15 and sum of the number and$ \frac{2}{3}$ means $(-15)(x+\frac{2}{3}).$
Step 4: $(-15)(x+\frac{2}{3})=-15x+\frac{-15\times2}{3}=-15x-10.$