1: \(x-\dfrac{2}{3}=-\dfrac{1}{5}\)
=>\(x=-\dfrac{1}{5}+\dfrac{2}{3}\)
=>\(x=\dfrac{-3+10}{15}=\dfrac{7}{15}\)
2: \(-\dfrac{4}{5}+x=\dfrac{2}{3}-\dfrac{3}{4}\)
=>\(x-\dfrac{4}{5}=\dfrac{8-9}{12}\)
=>\(x-\dfrac{4}{5}=-\dfrac{1}{12}\)
=>\(x=\dfrac{4}{5}-\dfrac{1}{12}=\dfrac{48-5}{60}=\dfrac{43}{60}\)
3: \(\dfrac{1}{2}-x=-\dfrac{2}{3}\)
=>\(x=\dfrac{1}{2}-\dfrac{-2}{3}\)
=>\(x=\dfrac{1}{2}+\dfrac{2}{3}=\dfrac{7}{6}\)
4: \(-\dfrac{5}{7}\cdot x=\dfrac{2}{3}\)
=>\(x=-\dfrac{2}{3}:\dfrac{5}{7}\)
=>\(x=-\dfrac{14}{15}\)
5: \(-\dfrac{3}{4}:x=\dfrac{1}{2}\)
=>\(x=-\dfrac{3}{4}:\dfrac{1}{2}\)
=>\(x=-\dfrac{3}{4}\cdot2=-\dfrac{3}{2}\)
6: \(\dfrac{4}{5}+\dfrac{1}{5}:x=\dfrac{1}{3}\)
=>\(\dfrac{1}{5}:x=\dfrac{1}{3}-\dfrac{4}{5}\)
=>\(\dfrac{1}{5}:x=\dfrac{5-12}{15}\)
=>\(\dfrac{1}{5}:x=\dfrac{-7}{15}\)
=>\(x=-\dfrac{1}{5}:\dfrac{7}{15}=\dfrac{-3}{7}\)
7: \(\dfrac{5}{7}-\dfrac{2}{3}x=-\dfrac{4}{5}\)
=>\(\dfrac{2}{3}x=\dfrac{5}{7}+\dfrac{4}{5}\)
=>\(x\cdot\dfrac{2}{3}=\dfrac{25+28}{35}=\dfrac{53}{35}\)
=>\(x=\dfrac{53}{35}:\dfrac{2}{3}=\dfrac{159}{70}\)
8: \(x:3,5=12,4-3\cdot4,2\)
=>\(x:3,5=12,4-12,6=-0,2\)
=>\(x=-0,2\cdot3,5=-0,7\)
9: \(2,5x+2,35=17,5\)
=>\(2,5x=17,5-2,35=15,15\)
=>x=15,15:2,5=6,06
