Layla rode from her house to the high school, then around the running track, and then back home, for a total mileage of 10 miles.
If we subtract the distance around the running track, we can find the distance from her house to the high school.
Let's assume the distance from her house to the high school is x miles.
So, the distance around the running track is 4 miles.
And the distance from her house to the high school and back is 2x miles.
Therefore, the equation is x + 4 + x = 10.
Combining like terms, we get 2x + 4 = 10.
Subtracting 4 from both sides, we get 2x = 6.
Dividing both sides by 2, we get x = 3.
Therefore, the distance from Layla's house to the high school is 3 miles.
#### 3
The answer is: 3
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Layla rode her bicycle slowly from her house to the high school, then four miles around the running track at her faster race pace, and finally rode back home on the same route, and her total mileage was 10 miles, what is the distance, in miles, from Layla's house to the high school?

### Answer:
