Josh starts with x feet of rope.
He cuts the rope in half, so he has x/2 feet of rope remaining.
He takes one of the halves and cuts it in half again, so he has (x/2)/2 = x/4 feet of rope remaining.
He grabs one of the remaining pieces and cuts it into fifths, so he has (x/4)/5 = x/20 feet of rope remaining.
We are given that the length of the rope he's holding is 5 feet, so we can write: x/20 = 5.
Multiplying both sides by 20, we get: x = 100.
The value of x is 100.
#### 100
The answer is: 100
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Josh has x feet of rope.  He cuts the rope in half, and then takes one of the halves and cuts it in half again.  He grabs one of the remaining pieces and cuts it into fifths.  He's stuck holding one length of the rope he's most recently cut.  How long is it?
If we know the answer to the above question is 5, what is the value of unknown variable x?

### Answer:
