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.