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14x\times \frac{9}{10}-x=390
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
\frac{14\times 9}{10}x-x=390
Express 14\times \frac{9}{10} as a single fraction.
\frac{126}{10}x-x=390
Multiply 14 and 9 to get 126.
\frac{63}{5}x-x=390
Reduce the fraction \frac{126}{10} to lowest terms by extracting and canceling out 2.
\frac{58}{5}x=390
Combine \frac{63}{5}x and -x to get \frac{58}{5}x.
x=390\times \frac{5}{58}
Multiply both sides by \frac{5}{58}, the reciprocal of \frac{58}{5}.
x=\frac{390\times 5}{58}
Express 390\times \frac{5}{58} as a single fraction.
x=\frac{1950}{58}
Multiply 390 and 5 to get 1950.
x=\frac{975}{29}
Reduce the fraction \frac{1950}{58} to lowest terms by extracting and canceling out 2.