To solve the equation \(2x + 5 = 13\), follow these steps:

1. Subtract 5 from both sides to isolate the term with \(x\):
   \[
   2x = 13 - 5
   \]
   \[
   2x = 8
   \]

2. Divide both sides by 2 to solve for \(x\):
   \[
   x = \frac{8}{2}
   \]
   \[
   x = 4
   \]

So, the solution is \(x = 4\).

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

Here are 5 related questions to expand your understanding:
1. How would you solve \(3x + 7 = 16\)?
2. What happens if you need to solve \(2x - 5 = 13\)?
3. How would the solution change if the equation were \(4x + 5 = 13\)?
4. What if the equation had a fraction, like \(\frac{3}{2}x + 5 = 13\)?
5. How can you check if your solution to \(2x + 5 = 13\) is correct?

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

Learn how to solve the linear equation 2x + 5 = 13 with a clear, step-by-step solution. This guide covers essential algebra concepts, including isolating variables and using equality properties. Suitable for students in Grades 6-8.

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