1. **State the problem:** A student starts with 50 and buys $x$ reusable water bottles, each costing 6. After buying, the student has 14 left. We need to find $x$. 2. **Set up the equation:** The total cost of $x$ bottles is $6x$. The money spent plus the money left equals the initial amount: $$6x + 14 = 50$$ 3. **Solve for $x$:** Subtract 14 from both sides: $$6x + \cancel{14} - \cancel{14} = 50 - 14$$ $$6x = 36$$ Divide both sides by 6: $$\frac{6x}{\cancel{6}} = \frac{36}{\cancel{6}}$$ $$x = 6$$ 4. **Interpretation:** The student bought 6 bottles. **Final answer:** $x = 6$