Rewrite the inequality without the absolute value.
\[-5<3x+7<5\]
Subtract \(7\) from the whole equation.
\[-5-7<3x<5-7\]
Simplify.
\[-12<3x<-2\]
Divide the whole equation by \(3\).
\[-\frac{12}{3}<x<-\frac{2}{3}\]
Simplify.
\[-4<x<-\frac{2}{3}\]
-4<x<-2/3