Answer
$\frac{19}{10x}$
Work Step by Step
We need to find the least common denominator and simplify the resultant expression. The LCD is $10x$, so we obtain:
$\frac{7}{5x}+\frac{2}{x}-\frac{3}{2x}$
=$\frac{7(2)+2(10)-3(5)}{10x}$
=$\frac{14+20-15}{10x}$
=$\frac{34-15}{10x}$
=$\frac{19}{10x}$