Step 1: Understanding the Concept:
This is a basic one-step linear equation. The goal is to isolate the variable \(x\) to find its value.
Step 2: Key Formula or Approach:
To solve for \(x\), we use the inverse operation. The inverse of subtraction is addition. We will add 3 to both sides of the equation.
Step 3: Detailed Explanation:
Given the equation:
\[ x - 3 = 7 \]
Add 3 to both sides of the equation to isolate \(x\):
\[ x - 3 + 3 = 7 + 3 \]
\[ x = 10 \]
Step 4: Final Answer:
The value of \(x\) is 10, which corresponds to option (D).