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.

Learn how to solve the linear equation 4(x - 2) - 3 = 9 step-by-step. This problem uses key algebraic concepts such as the distributive property and equation solving techniques, suitable for students in Grades 6-8.

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