Hi there!
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I believe your answer is:
[tex]2x + \frac{x}{2}=10\\\\\boxed{x=4}[/tex]
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Here’s why:
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[tex]\boxed{\text{Setting up an Equation...}}\\\\\text{"The sum of twice a number..."}} \rightarrow 2x+\\\\\text{"And half the number..."}\rightarrow \frac{x}{2}\\\\\text{"is 10"}\rightarrow = 10\\\\\\2x +\frac{x}{2}=10[/tex]
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[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + \frac{x}{2}=10\\----------------------\\\rightarrow (2x + \frac{x}{2})2=10*2\\\\\rightarrow 4x + 2 = 20\\\\\rightarrow 5x = 20\\\\\rightarrow \frac{5x=20}{5}\\\\\boxed{x=4}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
