Determining a Missing Data Value in Weighted Average

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When dealing with weighted averages, how do you solve for X?

$$ \frac{( 84X) + (40*16)}{100} = 10.5 . $$

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Here are the steps:

  1. Remove the fraction by multiplying both sides by $100$.

  2. Isolate the $X$ term by subtracting the $(40*16)$ from both sides.

  3. Remove the coefficient of $X$ by dividing both sides by $84$.