\(100\dfrac{3}{11}-x=\left(-1\dfrac{2}{11}\right)\)
\(x=100\dfrac{3}{11}-\left(-1\dfrac{2}{11}\right)\)
\(x=100\dfrac{3}{11}+1\dfrac{2}{11}\)
\(x=101\dfrac{5}{11}\)
\(---------\)
\(-5-x=\dfrac{8}{9}-\dfrac{17}{9}\)
\(-5-x=-1\)
\(x=-5-\left(-1\right)\)
\(x=-5+1\)
\(x=-4\)
\(-------\)
\(\dfrac{5}{21}+x=\dfrac{11}{2}\)
\(x=\dfrac{11}{2}-\dfrac{5}{21}\)
\(x=\dfrac{231}{42}-\dfrac{10}{42}\)
\(x=\dfrac{221}{42}\)
\(-----\)
\(x-\dfrac{-4}{9}=3-\dfrac{1}{6}-\dfrac{1}{-3}\)
\(x+\dfrac{4}{9}=\dfrac{18}{6}-\dfrac{1}{6}+\dfrac{2}{6}\)
\(x+\dfrac{4}{9}=\dfrac{19}{6}\)
\(x=\dfrac{19}{6}-\dfrac{4}{9}\)
\(x=\dfrac{57}{18}-\dfrac{8}{18}\)
\(x=\dfrac{49}{18}\)