We do not know the number, so we will let a variable take its place. I will be using n to represent this unknown number.
n=mystery number
Now that we have a variable, we can perform operations on it. Five less than four times a number is multiplying the number by 4 and then subtracting it by 5.
4n-5
Assuming that the second part is equal to the first part, nine more than twice a number is multiplying the number by 2 and then adding 9. We can set this equal to our previous expression.
4n-5=2n+9
2n-5=9
2n=14
n=7
Solving this equation is all we have to do to find the answer.