#### Answer

$\frac{3}{4}$x + 9 = x -2

#### Work Step by Step

The product of $\frac{3}{4}$ and a number, increased by 9, is 2 less than the number
let the number be x
"product of $\frac{3}{4}$ and a number" = $\frac{3}{4}$x
"increased by 9" = $\frac{3}{4}$x + 9
So left side of the equation will be $\frac{3}{4}$x + 9
Right side of the equation is 2 less than the number = x -2
So final equation is $\frac{3}{4}$x + 9 = x -2