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(3 × 5) + (6×5) = (16 x 5) - ( ___ × 5)

User Datsik
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We need to find the missing space on the following sentence:


(3\cdot5)+(6\cdot5)=(16\cdot5)-(x\cdot5)_{}

We will be using "x" in the place of the blank, to better represent the missing information. We have to perform all the needed operations first:


\begin{gathered} 15+30=80-5\cdot x \\ 45=80-5\cdot x \end{gathered}

Now, we have to isolate the missing information on the left side of the equation. To do that, we will have to change the side of all the other terms that don't have an "x", when this happens their operation gets reversed. This is done below:


\begin{gathered} 45=80-5\cdot x \\ 45-80=-5\cdot x \\ -35=-5\cdot x \\ -5\cdot x=-35 \\ x=(-35)/(-5)=7 \end{gathered}

The missing number is equal to 7.

User Dominique PERETTI
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