Subtract \(5\) from both sides.
\[2|3-2x|<7-5\]
Simplify \(7-5\) to \(2\).
\[2|3-2x|<2\]
Divide both sides by \(2\).
\[|3-2x|<1\]
Rewrite the inequality without the absolute value.
\[-1<3-2x<1\]
Subtract \(3\) from the whole equation.
\[-1-3<-2x<1-3\]
Simplify.
\[-4<-2x<-2\]
Divide the whole equation by \(-2\).
\[\frac{-4}{-2}>x>1\]
Simplify.
\[2>x>1\]
2>x>1
