\(\frac{-5}{2x}=\frac{-7}{4x}-\frac{5}{6}\)
\(-\frac{5}{2x}=-\frac{7}{4x}-\frac{5}{6}\)
\((-\frac{5}{2x})\times4x=(-\frac{7}{4x}-\frac{5}{6})\times4x\)
\(-\frac{20x}{2x}=(-\frac{7}{4x}-\frac{5}{6})\times4x\)
\(-\frac{20x}{2x}=-\frac{28x}{4x}-\frac{20x}{6}\)
\(-10=-\frac{28x}{4x}-\frac{20x}{6}\)
\(-10=-7-\frac{20x}{6}\)
\(-10\times6=(-7-\frac{20x}{6})\times6\)
\(-60=(-7-\frac{20x}{6})\times6\)
\(-60=-42-\frac{120x}{6}\)
\(-60=-42-20x\)
\(-60+42=-42-20x+42\)
\(-18=-42-20x+42\)
\(-18=0-20x\)
\(-18=-20x\)
\(\frac{-18}{-20}=\frac{-20x}{-20}\)
\(\frac{9}{10}=\frac{-20x}{-20}\)
\(\frac{9}{10}=\frac{1x}{1}\)
\(\frac{9}{10}=\frac{x}{1}\)
\(\frac{9}{10}=x\)
\(0.9=x\)
\(x=0.9\)
.