The product of twice a number and three is the same as the difference of five times the number and 9/4. Find the number.

(2x)(3) = 5x - 9/4

6x = 5x - 9/4
x = -9/4

To find the number, let's first assign a variable to represent it. Let's call the number "x".

According to the given information, the product of twice the number (2x) and three is equal to the difference of five times the number (5x) and 9/4.

So the equation can be written as:

2x * 3 = 5x - 9/4

Now, let's solve the equation to find the value of x.

First, distribute 2x by 3:

6x = 5x - 9/4

Next, move all terms with x to one side of the equation:

6x - 5x = -9/4

Combine like terms:

x = -9/4

Therefore, the value of the number (x) is -9/4.