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On subtracting 13 from 3 times of a numb...

On subtracting 13 from 3 times of a number, the result is 8 .

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To solve the problem step by step, we will follow the process of forming an equation based on the information given and then solving for the unknown number. ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find a number such that when we subtract 13 from 3 times that number, the result is 8. 2. **Define the Variable**: Let the unknown number be represented by \( x \). 3. **Formulate the Equation**: According to the problem, "3 times the number" can be written as \( 3x \). The equation based on the problem statement is: \[ 3x - 13 = 8 \] 4. **Isolate the Variable**: To solve for \( x \), we first need to isolate \( 3x \) on one side of the equation. We can do this by adding 13 to both sides: \[ 3x - 13 + 13 = 8 + 13 \] This simplifies to: \[ 3x = 21 \] 5. **Solve for \( x \)**: Now, divide both sides of the equation by 3 to find \( x \): \[ x = \frac{21}{3} \] Simplifying this gives: \[ x = 7 \] 6. **Verify the Solution**: To ensure our solution is correct, we can substitute \( x = 7 \) back into the original condition of the problem: \[ 3(7) - 13 = 21 - 13 = 8 \] Since this statement is true, our solution is verified. ### Final Answer: The number is \( 7 \).
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