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\frac{0.75x\times 8}{-3}=-0.5
Divide 0.75x by \frac{-3}{8} by multiplying 0.75x by the reciprocal of \frac{-3}{8}.
\frac{6x}{-3}=-0.5
Multiply 0.75 and 8 to get 6.
-2x=-0.5
Divide 6x by -3 to get -2x.
x=\frac{-0.5}{-2}
Divide both sides by -2.
x=\frac{-5}{-20}
Expand \frac{-0.5}{-2} by multiplying both numerator and the denominator by 10.
x=\frac{1}{4}
Reduce the fraction \frac{-5}{-20} to lowest terms by extracting and canceling out -5.