1. **State the problem:** We need to find the value of $x$ in the equation $$11 = x - 6$$. 2. **Formula and rules:** To solve for $x$, we want to isolate $x$ on one side of the equation. Since $x$ is subtracted by 6, we do the opposite operation, which is adding 6 to both sides. 3. **Add 6 to both sides:** $$11 + 6 = x - 6 + 6$$ 4. **Simplify both sides:** $$17 = x + \cancel{(-6 + 6)}$$ 5. **Final answer:** $$x = 17$$ So, the value of $x$ is 17.