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x\times \frac{3}{5}+280-x=0.1
Subtract x from both sides.
-\frac{2}{5}x+280=0.1
Combine x\times \frac{3}{5} and -x to get -\frac{2}{5}x.
-\frac{2}{5}x=0.1-280
Subtract 280 from both sides.
-\frac{2}{5}x=-279.9
Subtract 280 from 0.1 to get -279.9.
x=-279.9\left(-\frac{5}{2}\right)
Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}.
x=-\frac{2799}{10}\left(-\frac{5}{2}\right)
Convert decimal number -279.9 to fraction -\frac{2799}{10}.
x=\frac{-2799\left(-5\right)}{10\times 2}
Multiply -\frac{2799}{10} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{13995}{20}
Do the multiplications in the fraction \frac{-2799\left(-5\right)}{10\times 2}.
x=\frac{2799}{4}
Reduce the fraction \frac{13995}{20} to lowest terms by extracting and canceling out 5.