1. **State the problem:** Simplify the expression $5x^2 - 6x$. 2. **Identify common factors:** Both terms have a common factor of $x$. 3. **Factor out the common factor:** $$5x^2 - 6x = x(5x - 6)$$ 4. **Explain:** Factoring means expressing the expression as a product of simpler expressions. Here, we took out the common $x$ from both terms. 5. **Final answer:** $$\boxed{x(5x - 6)}$$