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-15\times \frac{4}{3}=x
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
\frac{-15\times 4}{3}=x
Express -15\times \frac{4}{3} as a single fraction.
\frac{-60}{3}=x
Multiply -15 and 4 to get -60.
-20=x
Divide -60 by 3 to get -20.
x=-20
Swap sides so that all variable terms are on the left hand side.