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# algebra

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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

### 1+0 Answers

#1
+24925
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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 $$\mathbf{-5}$$

Mar 13, 2020