Let's solve the equation $4(x - 2) - 3 = 9$.

Step 1: Distribute the 4

$4(x - 2) = 4x - 8$ So the equation becomes: $4x - 8 - 3 = 9$

Step 2: Combine like terms on the left side

$4x - 11 = 9$

Step 3: Add 11 to both sides

$4x = 9 + 11$ $4x = 20$

Step 4: Divide both sides by 4

$x = \frac{20}{4} = 5$

Final Answer:

$x = 5$

Would you like more details on any step, or do you have any questions?

Here are 5 related questions you might find helpful:

1. How would the equation change if we had $4(x + 2) - 3 = 9$?
2. What if the constant on the right side was 15 instead of 9?
3. How would you solve $5(x - 3) + 2 = 12$?
4. How can you verify your solution after solving for $x$?
5. What happens if the equation contains fractions like $\frac{4}{3}(x - 2) - 3 = 9$?

Tip: Always distribute terms carefully and combine like terms early to simplify the equation.