Solving Equations: Word Problems - Examples & Practice

Reciprocalitis is a common disease that affects every $2$ out of $x$ Frightened people. Bridgette, a nurse, is working on treating people with reciprocalitis in the hospital. She counts a total of $100$ people in the waiting room. She knows for a fact that $9$ of those people are faking, but the rest are a representative sample of Frightened people. After treating the remaining group only $14$ people had reciprocalitis. Which of the following is most likely $x$?