1. **State the problem:** Jane starts with 50 in savings and after 8 weeks, she has 290. Each week, she earns some amount $x$ babysitting but donates 5 every week. We need to find how much she makes per week babysitting. 2. **Set up the equation:** Initial savings + (weekly earnings - weekly donation) \times number of weeks = final savings $$50 + (x - 5) \times 8 = 290$$ 3. **Simplify the equation:** $$50 + 8x - 40 = 290$$ 4. **Combine like terms:** $$\cancel{50} + 8x - \cancel{40} + 10 = 290$$ Actually, $50 - 40 = 10$, so: $$10 + 8x = 290$$ 5. **Isolate $x$:** $$8x = 290 - 10$$ $$8x = 280$$ 6. **Solve for $x$:** $$x = \frac{280}{8}$$ $$x = 35$$ **Answer:** Jane makes 35 per week babysitting.