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\frac{27}{20}x\times \frac{90}{100}-50-x=208
Reduce the fraction \frac{135}{100} to lowest terms by extracting and canceling out 5.
\frac{27}{20}x\times \frac{9}{10}-50-x=208
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
\frac{27\times 9}{20\times 10}x-50-x=208
Multiply \frac{27}{20} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{243}{200}x-50-x=208
Do the multiplications in the fraction \frac{27\times 9}{20\times 10}.
\frac{43}{200}x-50=208
Combine \frac{243}{200}x and -x to get \frac{43}{200}x.
\frac{43}{200}x=208+50
Add 50 to both sides.
\frac{43}{200}x=258
Add 208 and 50 to get 258.
x=258\times \frac{200}{43}
Multiply both sides by \frac{200}{43}, the reciprocal of \frac{43}{200}.
x=\frac{258\times 200}{43}
Express 258\times \frac{200}{43} as a single fraction.
x=\frac{51600}{43}
Multiply 258 and 200 to get 51600.
x=1200
Divide 51600 by 43 to get 1200.