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If 3 is added to twice a number and this sum is multiplied by 6​, the result is the same as if the number is multiplied by 5 and 4 is added to the product. What is the​ number?

 Mar 13, 2020
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If 3 is added to twice a number and this sum is multiplied by 6​,

the result is the same as if the number is multiplied by 5 and 4 is added to the product.

What is the​ number?

 

\(\begin{array}{|rcll|} \hline 6(3+2x) &=& 5x+4 \\ 18+12x &=& 5x+4 \\ 12x-5x &=& 4- 18 \\ 7x &=& -14 \\ \mathbf{x} &=& \mathbf{-2} \\ \hline \end{array}\)

 

The number is \(\mathbf{-2}\)

 

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 Mar 13, 2020

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