1. **State the problem:** Solve the equation $4x - 5 = -10$ for $x$. 2. **Add 5 to both sides:** $$4x - 5 + 5 = -10 + 5$$ $$4x = -5$$ 3. **Divide both sides by 4:** $$\frac{4x}{\cancel{4}} = \frac{-5}{\cancel{4}}$$ $$x = -\frac{5}{4}$$ 4. **Final answer:** $$x = -\frac{5}{4}$$ This means the value of $x$ that satisfies the equation is $-1.25$.