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2x+\frac{30}{100}x+\frac{1}{3}x+x-\frac{35,75}{100}x=250000
Combine x and x to get 2x.
2x+\frac{3}{10}x+\frac{1}{3}x+x-\frac{35,75}{100}x=250000
Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.
\frac{23}{10}x+\frac{1}{3}x+x-\frac{35,75}{100}x=250000
Combine 2x and \frac{3}{10}x to get \frac{23}{10}x.
\frac{79}{30}x+x-\frac{35,75}{100}x=250000
Combine \frac{23}{10}x and \frac{1}{3}x to get \frac{79}{30}x.
\frac{79}{30}x+x-\frac{3575}{10000}x=250000
Expand \frac{35,75}{100} by multiplying both numerator and the denominator by 100.
\frac{79}{30}x+x-\frac{143}{400}x=250000
Reduce the fraction \frac{3575}{10000} to lowest terms by extracting and canceling out 25.
\frac{79}{30}x+\frac{257}{400}x=250000
Combine x and -\frac{143}{400}x to get \frac{257}{400}x.
\frac{3931}{1200}x=250000
Combine \frac{79}{30}x and \frac{257}{400}x to get \frac{3931}{1200}x.
x=250000\times \frac{1200}{3931}
Multiply both sides by \frac{1200}{3931}, the reciprocal of \frac{3931}{1200}.
x=\frac{250000\times 1200}{3931}
Express 250000\times \frac{1200}{3931} as a single fraction.
x=\frac{300000000}{3931}
Multiply 250000 and 1200 to get 300000000.