https://file.aiquickdraw.com/mathbot/file/1727065365132yasvuwfs.jpg

The equation in the image is:

\[
-3 + \frac{x}{5} = -8
\]

Let's solve this step by step.

### Step 1: Isolate the term involving \( x \)
First, add 3 to both sides of the equation to get rid of the -3 on the left side:

\[
\frac{x}{5} = -8 + 3
\]

\[
\frac{x}{5} = -5
\]

### Step 2: Solve for \( x \)
Now, multiply both sides of the equation by 5 to eliminate the denominator:

\[
x = -5 \times 5
\]

\[
x = -25
\]

So, the solution is \( x = -25 \).

Would you like further details on the steps, or do you have any questions?

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Here are five related questions to extend your understanding:

1. How would the solution change if the right-hand side was positive, e.g., \(-3 + \frac{x}{5} = 8\)?
2. What happens if there was a different denominator, such as \( \frac{x}{3} \) instead of \( \frac{x}{5} \)?
3. How can you check if your solution for \( x \) is correct?
4. Can you express this type of equation in general form? What would it look like?
5. What if there was another fraction involving \( x \) on the right-hand side?

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

This page provides a step-by-step solution to solve the linear equation -3 + x/5 = -8. Learn how to isolate variables and solve for x using basic algebraic techniques. Suitable for students in Grades 6-8.

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