1. **Problem:** Make $x$ the subject of the equation $y = x + 5$. 2. **Formula and rules:** To make $x$ the subject, isolate $x$ on one side of the equation by performing inverse operations. 3. **Step-by-step solution:** - Start with the equation: $$y = x + 5$$ - Subtract 5 from both sides to isolate $x$: $$y - 5 = x + \cancel{5} - \cancel{5}$$ - Simplify: $$x = y - 5$$ 4. **Explanation:** We moved the constant 5 to the other side by subtracting it from both sides, which leaves $x$ alone on the right side. **Final answer:** $$x = y - 5$$