1. **State the problem:** Solve the equation $10x - 1 = 4$ for $x$. 2. **Write down the equation:** $$10x - 1 = 4$$ 3. **Add 1 to both sides to isolate the term with $x$:** $$10x - 1 + 1 = 4 + 1$$ $$10x = 5$$ 4. **Divide both sides by 10 to solve for $x$:** $$\frac{\cancel{10}x}{\cancel{10}} = \frac{5}{10}$$ $$x = \frac{5}{10}$$ 5. **Simplify the fraction:** $$x = \frac{1}{2}$$ **Final answer:** $$x = \frac{1}{2}$$