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The problem in the image asks us to determine how many miles Russell ran each day after school by creating an appropriate equation. Here's a breakdown of the information provided:

- Russell runs 2 miles around the football field each day.
- He also runs an additional unknown distance, denoted by \( x \), through his neighborhood after school.
- He trained for 5 days and by the end of the week, he had run a total of 30 miles.

We need to choose the correct equation that represents this scenario.

### Step-by-step analysis:

1. Each day, Russell runs 2 miles around the football field and \( x \) miles through his neighborhood, making a total of \( 2 + x \) miles per day.
2. He runs for 5 days, so the total distance he runs over the 5 days is \( 5 \times (2 + x) \).
3. The total distance over the week is 30 miles, so we can set up the equation:
   \[
   5(2 + x) = 30
   \]

The correct equation from the options is **\( 5(x + 2) = 30 \)**.

### Solving the equation:
1. Expand the equation:
   \[
   5(x + 2) = 30 \implies 5x + 10 = 30
   \]
2. Subtract 10 from both sides:
   \[
   5x = 20
   \]
3. Divide both sides by 5:
   \[
   x = 4
   \]

So, Russell runs **4 miles** each day after school.

Would you like more details or have any questions?

Here are some related questions:
1. How do you create equations from word problems like this one?
2. What is the method to solve multi-step equations?
3. How can you verify if your solution to an equation is correct?
4. Why is it important to simplify equations in algebra?
5. Can this problem be solved using a different approach?

**Tip:** When solving equations, always ensure that the units (in this case, miles) are consistent throughout the problem.

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles. Which equation can Russell use to find how many miles, x, he ran each day after school?

Learn how to solve a two-step linear equation to determine the number of miles Russell ran each day after school. This problem focuses on understanding and solving equations formed from word problems, ideal for students in grades 6-7.

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