\(\Leftrightarrow\dfrac{1}{2}\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=1+\dfrac{1989}{1991}\)
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{x+1}=\dfrac{7960}{1991}\)
=>1/x+1=-13929/3982
=>x+1=-3982/13929
hay x=-17911/13929
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