\(\frac{5}{12}+\left(-\frac{7}{12}\right):x=-\frac{3}{10}\)
\(\Rightarrow-\frac{7}{12}:x=-\frac{43}{60}\)
\(\Rightarrow x=\frac{35}{43}\)
\(\frac{5}{12}+-\frac{7}{12}:x=\frac{-3}{10}\)
\(\Leftrightarrow\)\(-\frac{7}{12}:x=\frac{-3}{10}-\frac{5}{12}\)
\(\Leftrightarrow\)\(-\frac{7}{12}:x=\frac{-18}{60}-\frac{25}{60}\)
\(\Leftrightarrow\)\(-\frac{7}{12}:x=\frac{-43}{60}\)
\(\Leftrightarrow\) \(x=\frac{-7}{12}:\frac{-43}{60}\)
\(\Leftrightarrow\) \(x=\frac{-7}{12}.\frac{60}{-43}\)
\(\Leftrightarrow\) \(x=\frac{35}{43}\)
Vậy \(x=\frac{35}{43}\)