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9 added to twice a number gives 13. Find...

9 added to twice a number gives 13. Find the number.

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To solve the equation "9 added to twice a number gives 13," we can follow these steps: ### Step-by-Step Solution: 1. **Define the variable**: Let the unknown number be represented by \( x \). 2. **Translate the words into an equation**: According to the problem, "9 added to twice a number gives 13" can be expressed mathematically as: \[ 2x + 9 = 13 \] 3. **Isolate the term with the variable**: To solve for \( x \), we first need to isolate the term with \( x \). We can do this by subtracting 9 from both sides of the equation: \[ 2x + 9 - 9 = 13 - 9 \] This simplifies to: \[ 2x = 4 \] 4. **Solve for \( x \)**: Now, we need to solve for \( x \) by dividing both sides of the equation by 2: \[ \frac{2x}{2} = \frac{4}{2} \] This simplifies to: \[ x = 2 \] 5. **Conclusion**: The number we are looking for is: \[ \text{The number is } 2. \]
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