Verified Answer :

luana

\(19-\frac{5}{2x}=34\\\\\ -\frac{5}{2x}=34-19\\\\ -\frac{5}{2x}=15\ \ |*2x\\\\ -5=15*2x\\\\ -5=30x\ \ |:30\\\\x=-\frac{5}{30}=-\frac{1}{6}\)

\(19-\frac{5}{2}x=34\ \ \ \ \ \ |subtract\ 19\ from\ both\ sides\\\\-\frac{5}{2}x=15\ \ \ \ \ |multiply\ both\ sides\ by\ (-\frac{2}{5})\\\\\boxed{x=-6}\)

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