a) $x-\frac{2}{41}=\frac{-15}{112}.\frac{-224}{123}$
$⇔x=\frac{10}{41}+\frac{2}{41}=\frac{12}{41}$
b) $x+\frac{3}{7}=\frac{15}{17}.\frac{-34}{105}$
$⇔x=\frac{-2}{7}-\frac{3}{7}=-\frac{5}{7}$
c) $\frac{x-2}{121}=\frac{-11}{9}.\frac{6}{7}$
$⇔\frac{x-2}{121}=\frac{-22}{21}$
$⇔21(x-2)=(-22).121$
$⇔21x-42=-2662$
$⇔21x=-2620$
$⇔x=\frac{-2620}{21}$
d) $|\frac{4}{3}-x|-\frac{5}{6}=\frac{4}{21}.\frac{-35}{36}$
$⇔|\frac{4}{3}-x|=\frac{-5}{27}+\frac{5}{6}$
$⇔|\frac{4}{3}-x|=\frac{35}{54}$
$⇔\left[ \begin{array}{l}\frac{4}{3}-x=\frac{35}{54}\\\frac{4}{3}-x=-\frac{35}{54}\end{array} \right.$
$⇔\left[ \begin{array}{l}x=\frac{37}{54}\\x=\frac{107}{54}\end{array} \right.$
