a: \(-\dfrac{2}{5}+\dfrac{5}{6}x=-\dfrac{4}{15}\)
=>\(\dfrac{5}{6}x=-\dfrac{4}{15}+\dfrac{2}{5}=-\dfrac{4}{15}+\dfrac{6}{15}=\dfrac{2}{15}\)
=>\(x=\dfrac{2}{15}:\dfrac{5}{6}=\dfrac{2}{15}\cdot\dfrac{6}{5}=\dfrac{12}{75}=\dfrac{4}{25}\)
b: \(\dfrac{4}{3}-0,5x=1\dfrac{1}{2}\)
=>\(0,5x=\dfrac{4}{3}-\dfrac{3}{2}=\dfrac{8}{6}-\dfrac{9}{6}=-\dfrac{1}{6}\)
=>\(x=-\dfrac{1}{6}:0,5=-\dfrac{1}{6}\cdot2=-\dfrac{1}{3}\)
c: \(\dfrac{3}{8}\left(1,5-x\right)=\dfrac{3}{4}\)
=>\(1,5-x=\dfrac{3}{4}:\dfrac{3}{8}=\dfrac{8}{4}=2\)
=>x=1,5-2=-0,5
d: \(\dfrac{11}{12}:\left(\dfrac{5}{6}x+\dfrac{1}{2}\right)=\dfrac{11}{6}\)
=>\(\dfrac{5}{6}x+\dfrac{1}{2}=\dfrac{11}{12}:\dfrac{11}{6}=\dfrac{6}{12}=\dfrac{1}{2}\)
=>\(\dfrac{5}{6}x=0\)
=>x=0
e: \(-\dfrac{2}{5}+\dfrac{2}{3}x+\dfrac{1}{6}x=-\dfrac{4}{15}\)
=>\(\dfrac{5}{6}x=-\dfrac{4}{15}+\dfrac{2}{5}=-\dfrac{4}{15}+\dfrac{6}{15}=\dfrac{2}{15}\)
=>\(x=\dfrac{2}{15}:\dfrac{5}{6}=\dfrac{2}{15}\cdot\dfrac{6}{5}=\dfrac{12}{75}=\dfrac{4}{25}\)
f: \(-\dfrac{2}{5}+\dfrac{3}{2}x-\dfrac{2}{3}x=-\dfrac{4}{15}\)
=>\(\dfrac{5}{6}x=-\dfrac{4}{15}+\dfrac{2}{5}=\dfrac{-4}{15}+\dfrac{6}{15}=\dfrac{2}{15}\)
=>\(x=\dfrac{2}{15}:\dfrac{5}{6}=\dfrac{2}{15}\cdot\dfrac{6}{5}=\dfrac{12}{75}=\dfrac{4}{25}\)
