1. **State the problem:** Solve the equation $$\sqrt{3} + 2x = -x$$ for $x$. 2. **Rewrite the equation:** Move all terms involving $x$ to one side: $$\sqrt{3} + 2x = -x \implies 2x + x = -\sqrt{3} \implies 3x = -\sqrt{3}$$ 3. **Solve for $x$:** $$x = \frac{-\sqrt{3}}{3}$$ 4. **Simplify the expression:** $$x = -\frac{\sqrt{3}}{3}$$ 5. **Interpretation:** The solution is $x = -\frac{\sqrt{3}}{3}$. This is the only solution to the given equation. **Final answer:** $$x = -\frac{\sqrt{3}}{3}$$