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x+8=18\times \frac{10}{9}
Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.
x+8=\frac{18\times 10}{9}
Express 18\times \frac{10}{9} as a single fraction.
x+8=\frac{180}{9}
Multiply 18 and 10 to get 180.
x+8=20
Divide 180 by 9 to get 20.
x=20-8
Subtract 8 from both sides.
x=12
Subtract 8 from 20 to get 12.