1. **State the problem:** Solve the equation $2x - 5 = 5$ for $x$. 2. **Add 5 to both sides:** To isolate the term with $x$, add 5 to both sides: $$2x - 5 + 5 = 5 + 5$$ This simplifies to: $$2x = 10$$ 3. **Divide both sides by 2:** To solve for $x$, divide both sides by 2: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{10}{2}$$ This simplifies to: $$x = 5$$ 4. **Final answer:** The solution to the equation is $x = 5$.