Question 49: Find x knowing \(\frac{{ – 5}}{{ – 14}} = \frac{{20}}{{6 – 5x}}\)

We have:

\(\begin{array}{l} \frac{{ – 5}}{{ – 14}} = \frac{{( – 5).( – 4)}}{{( – 14).( – 4 )}} = \frac{{20}}{{56}} = \frac{{20}}{{6 – 5x}}\\ \Leftrightarrow 56 = 6 – 5x\\ \Leftrightarrow 56 – 6 = – 5x \\ \Leftrightarrow x = 50:( – 5)\\ \Leftrightarrow x = – 10 \end{array}\)