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If 8 is added to twice a number and this sum is multiplied by 3​, the result is the same as if the number is multiplied by 3 and 9 is added to the product. What is the​ number?

 Mar 13, 2020
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If 8 is added to twice a number and this sum is multiplied by 3,
the result is the same as if the number is multiplied by 3 and 9 is added to the product.
What is the number?

 

\(\begin{array}{|rcll|} \hline 3(8+2x) &=& 3x+9 \\ 24+6x &=& 3x+9 \\ 6x-3x &=& 9- 24 \\ 3x &=& -15 \\ \mathbf{x} &=& \mathbf{-5} \\ \hline \end{array}\)

 

The number is \(\mathbf{-5}\)

 

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 Mar 13, 2020

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