https://file.aiquickdraw.com/mathbot/file/1727292171031konb50ou.jpg

It seems the OCR misinterpreted the equation slightly. Based on the image, the correct equation is:

\[
5x - 2 = 13
\]

### Steps to solve:

1. Add 2 to both sides to isolate the term with \(x\):
   \[
   5x = 13 + 2
   \]
   \[
   5x = 15
   \]

2. Divide both sides by 5:
   \[
   x = \frac{15}{5}
   \]
   \[
   x = 3
   \]

Thus, the solution is \(x = 3\).

Would you like more details or have any questions?

Here are some related questions to explore:

1. What is the general method for solving linear equations?
2. How would the solution change if the equation was \(5x + 2 = 13\)?
3. Can you solve for \(x\) if the equation was \(5x - 2 = 0\)?
4. How can you check if the solution is correct?
5. What happens when the coefficient of \(x\) is negative?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation 5x - 2 = 13 with a detailed step-by-step solution, demonstrating basic algebraic techniques including adding and dividing to isolate the variable. Suitable for students in Grades 7-9.

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