Answer
$\frac{2}{3}$x + 6 = x -3
Work Step by Step
The product of $\frac{2}{3}$ and a number, increased by 6, is 3 less than the number
let the number be x
"product of $\frac{2}{3}$ and a number" = $\frac{2}{3}$x
"increased by 6" = $\frac{2}{3}$x + 6
So left side of the equation will be $\frac{2}{3}$x + 6
Right side of the equation is 3 less than the number = x -3
So final equation is $\frac{2}{3}$x + 6 = x -3
