1. **State the problem:** Solve the equation $x \times 3 - 6 = -11$ for $x$. 2. **Write the equation:** $$3x - 6 = -11$$ 3. **Add 6 to both sides to isolate the term with $x$:** $$3x - 6 + 6 = -11 + 6$$ $$3x = -5$$ 4. **Divide both sides by 3 to solve for $x$:** $$x = \frac{-5}{3}$$ 5. **Final answer:** $$x = -\frac{5}{3}$$ This means that when $x$ is $-\frac{5}{3}$, the original equation holds true.