\(x\div4\frac{1}{3}=-2,5\)
\(\Leftrightarrow x\div\frac{13}{3}=\frac{-5}{2}\)
\(\Leftrightarrow x=\frac{-5}{2}.\frac{13}{3}\)
\(\Leftrightarrow x=\frac{-65}{6}\)
\(x\div\frac{-3}{5}=\frac{-10}{21}\)
\(\Leftrightarrow x=\frac{-10}{21}.\frac{-3}{5}\)
\(\Leftrightarrow x=\frac{30}{105}\)
\(\Leftrightarrow x=\frac{2}{7}\)
\(\frac{2}{3}x-\frac{1}{2}=\frac{1}{10}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{1}{10}+\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{3}x=\frac{6}{10}\)
\(\Leftrightarrow x=\frac{6}{10}\div\frac{2}{3}\)
\(\Leftrightarrow x=\frac{18}{20}\)
\(\Leftrightarrow x=\frac{9}{10}\)
\(\frac{1}{2}x+\frac{1}{2}=\frac{5}{2}\)
\(\Leftrightarrow\frac{1}{2}\left(x+1\right)=\frac{5}{2}\)
\(\Leftrightarrow\left(x+1\right)=\frac{5}{2}\div\frac{1}{2}\)
\(\Leftrightarrow\left(x+1\right)=5\)
\(\Leftrightarrow x=5-1\)
\(\Leftrightarrow x=4\)
\(\frac{-2}{3}-\frac{1}{3}\left(2x-5\right)=\frac{3}{2}\)
\(\Leftrightarrow\frac{-2}{3}-\frac{2x}{3}+\frac{5}{3}=\frac{3}{2}\)
\(\Leftrightarrow1-\frac{2x}{3}=\frac{3}{2}\)
\(\Leftrightarrow\frac{2x}{3}=1-\frac{3}{2}\)
\(\Leftrightarrow\frac{2x}{3}=\frac{-1}{2}\)
\(\Leftrightarrow x=\frac{-1}{2}\div\frac{2}{3}\)
\(\Leftrightarrow x=\frac{-3}{4}\)
\(\frac{2}{5}x+\frac{1}{2}=\frac{-3}{4}\)
\(\Leftrightarrow\frac{2}{5}x=\frac{-3}{4}-\frac{1}{2}\)
\(\Leftrightarrow\frac{2}{5}x=\frac{-5}{4}\)
\(\Leftrightarrow x=\frac{-5}{4}\div\frac{2}{5}\)
\(\Leftrightarrow x=\frac{-25}{8}\)
\(\frac{1}{3}x-8=\frac{1}{2}\)
\(\Leftrightarrow\frac{1}{3}x=\frac{1}{2}+8\)
\(\Leftrightarrow\frac{1}{3}x=\frac{17}{2}\)
\(\Leftrightarrow x=\frac{17}{2}\div\frac{1}{3}\)
\(\Leftrightarrow x=\frac{51}{2}\)
\(x-\frac{1}{4}=\frac{5}{8}.\frac{2}{3}\)
\(\Leftrightarrow x-\frac{1}{4}=\frac{10}{24}\)
\(\Leftrightarrow x=\frac{10}{24}+\frac{1}{4}\)
\(\Leftrightarrow x=\frac{16}{24}\)
\(\Leftrightarrow x=\frac{2}{3}\)
