To solve this problem, we need to determine the value of x, which represents the number of minutes it took to fill one barrel of soda with the leak.
We know that on a normal day, the machine can fill one barrel of soda in 3 minutes.
On a day with a leak, it took x minutes to fill one barrel of soda.
We also know that it takes 24 minutes longer to fill 12 barrels with the leak compared to a normal day.
We can set up the equation as follows:
Time to fill 12 barrels with the leak - Time to fill 12 barrels on a normal day = 24
12x - 12 * 3 = 24
Let's simplify and solve for x:
12x - 36 = 24
To isolate x, we add 36 to both sides of the equation:
12x - 36 + 36 = 24 + 36
12x = 60
To solve for x, we divide both sides of the equation by 12:
x = 60 / 12
x = 5
The value of x is 5.
#### 5
The answer is: 5
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
A machine at the soda factory can usually fill a barrel of soda in 3 minutes. However this morning a leak went unnoticed and it took x minutes to fill one barrel. If the leak remains undetected, It will take 24 longer to fill 12 barrels of soda than on a normal day when the machine works fine. What is the value of unknown variable x?

### Answer:
