2целых4/7:(0,5х-23/35)=7,5

$2 frac{4}{7}:(0,5x- frac{23}{35} )=7,5$
$0,5x- frac{23}{35}=2 frac{4}{7}:7,5$
$0,5x- frac{23}{35}=2 frac{4}{7}:7 frac{1}{2}$
$0,5x- frac{23}{35}= frac{18}{7}* frac{2}{15}$
$0,5x- frac{23}{35}= frac{6*2}{7*5}$
$0,5x- frac{23}{35}= frac{12}{35}$
$0,5x= frac{12}{35}+ frac{23}{35}$
$0,5x= frac{12+23}{35}$
$0,5x= frac{35}{35}$
$0,5x=1$
$x=1:0,5$
$x=2$