To solve the equation \( 1000 = 8000 + \frac{x}{10} \), follow these steps:

1. **Isolate the term involving \( x \)**:
   \[
   1000 - 8000 = \frac{x}{10}
   \]
   \[
   -7000 = \frac{x}{10}
   \]

2. **Eliminate the fraction by multiplying both sides by 10**:
   \[
   -7000 \times 10 = x
   \]
   \[
   x = -70000
   \]

So, the value of \( x \) is \( -70000 \).

Would you like details on any specific steps? 

Here are some related questions for further practice:

1. How do you solve an equation with a fraction?
2. What happens if the equation is \( 1000 = 8000 - \frac{x}{10} \)?
3. How would the solution change if the equation were \( 1000 = 8000 + \frac{2x}{10} \)?
4. What are the common mistakes to avoid when solving linear equations?
5. How can you check your solution to ensure it's correct?
6. What if the equation involved multiplication instead of division?
7. How would you solve \( 1000 = 8000 + \frac{x}{5} \)?
8. How would the equation change if there were additional terms on both sides?

**Tip:** Always double-check your operations, especially when working with fractions and negative numbers!

Learn how to solve the linear equation 1000 = 8000 + x/10 with a step-by-step solution. This problem covers solving equations with fractions and negative numbers. Suitable for students in Grades 7-9.

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