1. **State the problem:** Solve the linear equation $x + 2y = 5$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation by performing inverse operations. 3. **Isolate $y$:** $$x + 2y = 5$$ Subtract $x$ from both sides: $$\cancel{x} + 2y - \cancel{x} = 5 - x$$ which simplifies to $$2y = 5 - x$$ 4. **Solve for $y$ by dividing both sides by 2:** $$\frac{2y}{\cancel{2}} = \frac{5 - x}{\cancel{2}}$$ which simplifies to $$y = \frac{5 - x}{2}$$ 5. **Final answer:** $$y = \frac{5 - x}{2}$$ This expresses $y$ in terms of $x$ for the given linear equation.