Let's solve the equation \( 4x - 7 = 3x + 2 \).

### Step 1: Move all the terms involving \(x\) to one side.
Subtract \(3x\) from both sides:
\[
4x - 3x - 7 = 2
\]
This simplifies to:
\[
x - 7 = 2
\]

### Step 2: Move the constant terms to the other side.
Add 7 to both sides:
\[
x = 2 + 7
\]
This simplifies to:
\[
x = 9
\]

### Final Answer:
\[
x = 9
\]

Would you like more details or further explanations?

Here are 5 related questions to explore this concept further:
1. What happens if you change \(4x\) to \(5x\) in the equation?
2. How would you solve \(5x - 9 = 4x + 3\)?
3. What if the equation was \(4x - 7 = 3x - 2\)? How does the solution change?
4. Can you solve \(4x - 7 = 2(2x - 3)\)?
5. What are the steps to solve \(7 - 4x = 3x + 9\)?

**Tip:** Always move the variable terms to one side and constants to the other when solving linear equations.

Learn how to solve the linear equation 4x - 7 = 3x + 2 with a clear, step-by-step explanation. This problem teaches the basics of algebraic manipulation, focusing on moving variables and constants to opposite sides. Perfect for students in Grades 6-8.

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