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\frac{7}{5}x\times \frac{9}{10}-x=890
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
\frac{7\times 9}{5\times 10}x-x=890
Multiply \frac{7}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{63}{50}x-x=890
Do the multiplications in the fraction \frac{7\times 9}{5\times 10}.
\frac{13}{50}x=890
Combine \frac{63}{50}x and -x to get \frac{13}{50}x.
x=890\times \frac{50}{13}
Multiply both sides by \frac{50}{13}, the reciprocal of \frac{13}{50}.
x=\frac{890\times 50}{13}
Express 890\times \frac{50}{13} as a single fraction.
x=\frac{44500}{13}
Multiply 890 and 50 to get 44500.