1. **Stating the problem:** We need to find the result of the operation $+\infty - x$ where $x \in \mathbb{R}$. 2. **Understanding the operation:** $+\infty$ represents an infinitely large positive quantity. Subtracting any finite real number $x$ from $+\infty$ still leaves the quantity infinitely large. 3. **Formula and rules:** For any finite real number $a$, $+\infty - a = +\infty$. This is because infinity is not a real number but a concept representing unbounded growth, so subtracting a finite number does not change its nature. 4. **Intermediate work:** Since $x$ is finite, $+\infty - x = +\infty$. 5. **Final answer:** $$+\infty - x = +\infty$$ This means the result is still positive infinity regardless of the finite value of $x$.