To determine the average number of miles Brandon needs to ride each day over the next 5 days to reach his goal of 21 miles, we can set up the equation based on the information provided.
- Total miles Brandon wants to ride: 21 miles
- Miles already ridden: 6 miles
- Miles left to ride: \( 21 - 6 = 15 \) miles
- Number of days left to ride: 5 days
Let \( x \) be the average number of miles he needs to ride each day for the next 5 days. The total miles he needs to ride in the next 5 days is 15 miles, so we can set up the equation as follows:
\[ 5x = 15 \]
Now, solve for \( x \):
\[ x = \frac{15}{5} = 3 \]
So, Brandon needs to ride an average of 3 miles each day.
Final Answer:
Equation: \( 5x = 15 \)
Answer: \( x = 3 \)