Ответ:

\[\frac{5-x}{3}-\frac{x+7}{3}=6\]

\[\frac{5-x-x-7}{3}=6\]

\(\frac{-2x-2}{3}\)=6

\[-2x-2=18\]

\[-2x=20\]

\[x=-10\]

Ответ: \(x=-10\).