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\frac{1}{6}x=-\frac{3}{8}
Combine \frac{5}{6}x and -\frac{2}{3}x to get \frac{1}{6}x.
x=-\frac{3}{8}\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
x=\frac{-3\times 6}{8}
Express -\frac{3}{8}\times 6 as a single fraction.
x=\frac{-18}{8}
Multiply -3 and 6 to get -18.
x=-\frac{9}{4}
Reduce the fraction \frac{-18}{8} to lowest terms by extracting and canceling out 2.