1. **State the problem:** Solve the equation $5x - 15 = 15$ for $x$. 2. **Write down the equation:** $$5x - 15 = 15$$ 3. **Add 15 to both sides to isolate the term with $x$:** $$5x - 15 + 15 = 15 + 15$$ $$5x = 30$$ 4. **Divide both sides by 5 to solve for $x$:** $$\frac{\cancel{5}x}{\cancel{5}} = \frac{30}{5}$$ $$x = 6$$ 5. **Final answer:** $$x = 6$$ This means the value of $x$ that satisfies the equation is 6.