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x-8=-6\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x-8=\frac{-6\times 4}{3}
Express -6\times \frac{4}{3} as a single fraction.
x-8=\frac{-24}{3}
Multiply -6 and 4 to get -24.
x-8=-8
Divide -24 by 3 to get -8.
x=-8+8
Add 8 to both sides.
x=0
Add -8 and 8 to get 0.