<=>(7/8-5-20)x=3/12-45
<=>(7-40-160)x=2-90
-193x=-88
x=88/193
\(\dfrac{7}{8x}-5\left(x-9\right)=20x+\dfrac{1,5}{6}\)
\(\Leftrightarrow7-8x.5\left(x-9\right)=120x+1,5\)
\(\Leftrightarrow7-40x^2+360x=120x+1,5\)
\(\Leftrightarrow-40x^2+360x-120x=7+1,5\)
\(\Leftrightarrow-40x^2+240x=8,5\)
\(\Leftrightarrow40x\left(-x-6\right)=8,5\)
\(\Leftrightarrow\left[{}\begin{matrix}40x=8,5\\-x-6=8,5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{80}\\x=-\dfrac{29}{2}\end{matrix}\right.\)
S\(=\left\{\dfrac{17}{80},\dfrac{-29}{2}\right\}\)