https://file.aiquickdraw.com/mathbot/file/1726183283036zejdbvpu.jpg

The equation shown in the image is:

\[
-8 = \frac{x + 11}{-2}
\]

### Steps to solve for \(x\):

1. **Multiply both sides by -2** to eliminate the denominator on the right side:
   \[
   (-8)(-2) = \frac{x + 11}{-2} \times (-2)
   \]
   This simplifies to:
   \[
   16 = x + 11
   \]

2. **Subtract 11 from both sides** to isolate \(x\):
   \[
   16 - 11 = x
   \]
   Simplifying:
   \[
   x = 5
   \]

### Final Answer:
\[
x = 5
\]

Would you like more details or have any questions?

Here are 5 questions that expand on this information:
1. How do you solve equations with negative denominators?
2. What happens when you multiply both sides of an equation by a negative number?
3. How can you check your solution for an equation?
4. Can this equation be graphed on a coordinate plane? If so, how?
5. What are some common mistakes when solving linear equations like this?

**Tip:** Always double-check your work by plugging the solution back into the original equation to verify it.

Learn how to solve the linear equation -8 = (x + 11) / -2 with a step-by-step solution. This problem highlights important algebraic concepts such as multiplying both sides of an equation by a negative number and isolating the variable. Suitable for students in Grades 6-8.

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