Step 1: Understanding the Concept:
This is a two-step linear algebraic equation. We need to isolate \(x\). Step 2: Detailed Explanation:
The given equation is:
\[ 2x - 3 = 9 \]
Add 3 to both sides of the equation:
\[ 2x = 9 + 3 \]
\[ 2x = 12 \]
Divide both sides by 2:
\[ x = \frac{12}{2} \]
\[ x = 6 \]
Step 3: Final Answer:
The value of \(x\) is 6. This corresponds to option (D).