1.4x \times 90 \% -x=390
Solve for x
x=1500
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1.4x\times \frac{9}{10}-x=390
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
\frac{7}{5}x\times \frac{9}{10}-x=390
Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.
\frac{7\times 9}{5\times 10}x-x=390
Multiply \frac{7}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{63}{50}x-x=390
Do the multiplications in the fraction \frac{7\times 9}{5\times 10}.
\frac{13}{50}x=390
Combine \frac{63}{50}x and -x to get \frac{13}{50}x.
x=390\times \frac{50}{13}
Multiply both sides by \frac{50}{13}, the reciprocal of \frac{13}{50}.
x=\frac{390\times 50}{13}
Express 390\times \frac{50}{13} as a single fraction.
x=\frac{19500}{13}
Multiply 390 and 50 to get 19500.
x=1500
Divide 19500 by 13 to get 1500.
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