Solve Linear Equation 7A0879

1. **State the problem:** Solve the equation $$2 (x + 5) + 4x = x + 25$$ for $$x$$. 2. **Use the distributive property:** Expand $$2 (x + 5)$$ to get $$2x + 10$$. 3. **Rewrite the equation:** $$2x + 10 + 4x = x + 25$$. 4. **Combine like terms on the left side:** $$2x + 4x = 6x$$, so the equation becomes $$6x + 10 = x + 25$$. 5. **Subtract $$x$$ from both sides:** $$6x - \cancel{x} + 10 = \cancel{x} + 25 - x$$ simplifies to $$5x + 10 = 25$$. 6. **Subtract 10 from both sides:** $$5x + 10 - 10 = 25 - 10$$ simplifies to $$5x = 15$$. 7. **Divide both sides by 5:** $$\frac{5x}{\cancel{5}} = \frac{15}{\cancel{5}}$$ simplifies to $$x = 3$$. **Final answer:** $$x = 3$$.