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six more than five times a numbers that increased by eighteen. use the given conditions to write the equation, solve the equation and find the number

User Otmezger
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Using the variable x to represent the number, we have:

Five times a number: 5x

Six more than five times a number: 5x + 6

the number increased by eighteen: x + 18

So, equating the expressions 5x + 6 and x + 18, we have our equation:


5x+6=x+18

Now, solving the equation for x, we have:


\begin{gathered} 5x-x=18-6 \\ 4x=12 \\ x=(12)/(4) \\ x=3 \end{gathered}

So the number we want is x = 3.

User Jeremy Cowan
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