The width of the bathroom is 10x inches and the length is 20 * 6 = 120 inches.
To find the square footage of the bathroom, we need to convert the measurements to feet.
Since there are 12 inches in a foot, the width of the bathroom in feet is (10x) / 12.
The length of the bathroom in feet is 120 / 12 = 10 feet.
The square footage of the bathroom is the product of the width and length: (10x / 12) * 10 = (5x / 6) * 10 = (5/6) * 10x = (5/6) * 10x = (5/6) * 10x = (50/6) * x = (25/3) * x.
We are given that the square footage of the bathroom is 50, so we can write: (25/3) * x = 50.
Multiplying both sides by 3/25, we get: x = 6.
The value of x is 6.
#### 6
The answer is: 6
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
A bathroom has 10 x inch tiles along its width and 20 6 inch tiles along its length.  What is the square footage of the bathroom?
If we know the answer to the above question is 50, what is the value of unknown variable x?

### Answer:
