1. **State the problem:** We want to find the largest whole number $x$ such that $5 + x$ is larger than $2x$.
2. **Write the inequality:**
$$5 + x > 2x$$
3. **Isolate $x$ on one side:**
Subtract $x$ from both sides:
$$5 > 2x - x$$
$$5 > x$$
4. **Interpret the inequality:**
This means $x$ must be less than 5.
5. **Find the largest whole number less than 5:**
The largest whole number less than 5 is 4.
**Final answer:**
$$\boxed{4}$$
Largest Whole Number
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