https://file.aiquickdraw.com/mathbot/file/17284966328893v4trnxq.jpg

The equation shown in the image is:

\[
\frac{x}{-6} = -4
\]

To solve for \(x\), follow these steps:

1. Multiply both sides of the equation by \(-6\) to eliminate the denominator:
\[
x = (-4) \times (-6)
\]

2. Calculate the result:
\[
x = 24
\]

Thus, the solution is \(x = 24\).

Would you like more details on this solution or have any questions?

Here are 5 related questions to explore further:
1. How do you handle equations with negative numbers?
2. What are the properties of multiplication involving negative numbers?
3. Can you solve other types of equations with fractions?
4. How would the solution change if the equation had a positive denominator?
5. What happens if the equation had a different constant on the right side?

**Tip**: When solving equations with fractions, multiplying both sides by the denominator is a common first step to simplify.

Solve the equation \(\frac{x}{-6} = -4\).

This problem demonstrates how to solve the linear equation \(\frac{x}{-6} = -4\), covering key algebraic concepts like multiplication with negative numbers. The solution is explained step by step, making it suitable for students in Grades 6-8.

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