1. **State the problem:** Solve the equation $$12 \left( \frac{x}{6} + 5 \right) = 5 \left( \frac{x}{5} - 30 \right)$$ for $x$. 2. **Use the distributive property:** Multiply inside the parentheses. $$12 \times \frac{x}{6} + 12 \times 5 = 5 \times \frac{x}{5} - 5 \times 30$$ 3. **Simplify each term:** $$2x + 60 = x - 150$$ 4. **Isolate the variable $x$:** Subtract $x$ from both sides. $$2x - x + 60 = -150$$ $$x + 60 = -150$$ 5. **Solve for $x$:** Subtract 60 from both sides. $$x = -150 - 60$$ $$x = -210$$ 6. **Final answer:** $$\boxed{-210}$$