\(\frac{1}{a-b-x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{x}\)
\(\Leftrightarrow\frac{1}{a-b-x}-\frac{1}{x}=\frac{1}{a}+\frac{1}{b}\)
\(\Leftrightarrow\frac{2x-a-b}{\left(a+b-c\right)x}=\frac{a+b}{ab}\)
\(\Leftrightarrow\left(2x-a-b\right)ab=\left(a+b\right)\left(a+b-c\right)x\)
\(\Leftrightarrow\left(a+b\right)x^2-\left(a^2+b^2\right)x-ab\left(a+b\right)=\)
\(\frac{1}{a-b-x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{x}\)
\(\Leftrightarrow\frac{1}{a-b-x}-\frac{1}{x}=\frac{1}{a}+\frac{1}{b}\)
\(\Leftrightarrow\frac{2x-a-b}{\left(a+b-c\right)}=\frac{a+b}{ab}\)
\(\Leftrightarrow\left(2x-a-b\right)ab=\left(a+b\right)\left(a+b-c\right)x\)
\(\Leftrightarrow\left(a+b\right)x^2-\left(a^2+b^2\right)x-ab\left(a+b\right)=...\)