Let's solve the equation \( 9x + 2 = 8x + 5 \).

### Step-by-step solution:
1. Subtract \( 8x \) from both sides to get all \( x \)-terms on one side:
   \[
   9x - 8x + 2 = 8x - 8x + 5
   \]
   \[
   x + 2 = 5
   \]
   
2. Subtract 2 from both sides to isolate \( x \):
   \[
   x + 2 - 2 = 5 - 2
   \]
   \[
   x = 3
   \]

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

Would you like further details on the steps or any related explanations?

Here are 5 related questions to expand on this:

1. What happens if you swap the sides of the equation?
2. Can you solve similar equations with fractions?
3. How would you graph \( 9x + 2 = 8x + 5 \) on a coordinate plane?
4. What is the general process for solving linear equations?
5. How do you check if \( x = 3 \) is a correct solution?

**Tip**: Always double-check your solution by substituting the value of \( x \) back into the original equation!

Learn how to solve the linear equation 9x + 2 = 8x + 5 with a detailed step-by-step solution. This problem covers key algebraic concepts like solving for x using properties of equality. Suitable for students in Grades 6-8.

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