Subjects algebra

Find Number 5Caf4A

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1. **State the problem:** We need to find a number such that when it is doubled and then decreased by 9, the result is 19. 2. **Set up the equation:** Let the number be $x$. Doubling the number gives $2x$. Decreasing this by 9 gives $2x - 9$. According to the problem, this equals 19. 3. **Write the equation:** $$2x - 9 = 19$$ 4. **Solve for $x$:** Add 9 to both sides: $$2x - 9 + 9 = 19 + 9$$ $$2x = 28$$ Divide both sides by 2: $$x = \frac{28}{2} = 14$$ 5. **Interpret the result:** The number is 14. 6. **Check the answer:** Double 14 is 28, and 28 minus 9 is 19, which matches the problem statement. **Final answer:** 14