https://file.aiquickdraw.com/mathbot/file/1728607444595b6a13ufl.jpg

The equation shown in the image is:

\[
5x + 10 = 40
\]

### Step-by-step solution:

1. **Isolate the variable term**:
   Subtract 10 from both sides of the equation to get rid of the constant on the left-hand side.

   \[
   5x = 40 - 10
   \]
   \[
   5x = 30
   \]

2. **Solve for \(x\)**:
   Divide both sides of the equation by 5 to isolate \(x\).

   \[
   x = \frac{30}{5}
   \]
   \[
   x = 6
   \]

So, the solution is \(x = 6\).

### Verification:
To check, substitute \(x = 6\) back into the original equation:

\[
5(6) + 10 = 40
\]
\[
30 + 10 = 40
\]
Since both sides are equal, the solution is correct.

### Final Answer:
The solution set is \( \{6\} \), which corresponds to option **A** in the image.

Would you like further details or explanations?

Here are 5 additional questions to expand on this:

1. What would happen if we had \(5x - 10 = 40\) instead?
2. How would the solution change if \(5x + 10 = 50\) was given?
3. Can a linear equation like this have more than one solution?
4. What does the symbol ∅ in option C represent in mathematical terms?
5. How would the steps differ if there was a fraction involved in the equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Solve the equation 5x + 10 = 40, and check the solution.

Learn how to solve the linear equation 5x + 10 = 40 with a detailed step-by-step explanation. This problem covers key algebraic concepts and solving linear equations. Suitable for students in Grades 6-8.

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