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x+8=9\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x+8=\frac{9\times 4}{3}
Express 9\times \frac{4}{3} as a single fraction.
x+8=\frac{36}{3}
Multiply 9 and 4 to get 36.
x+8=12
Divide 36 by 3 to get 12.
x=12-8
Subtract 8 from both sides.
x=4
Subtract 8 from 12 to get 4.