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\frac{1540\times 15}{3}+120x-35000=0
Express \frac{1540}{3}\times 15 as a single fraction.
\frac{23100}{3}+120x-35000=0
Multiply 1540 and 15 to get 23100.
7700+120x-35000=0
Divide 23100 by 3 to get 7700.
-27300+120x=0
Subtract 35000 from 7700 to get -27300.
120x=27300
Add 27300 to both sides. Anything plus zero gives itself.
x=\frac{27300}{120}
Divide both sides by 120.
x=\frac{455}{2}
Reduce the fraction \frac{27300}{120} to lowest terms by extracting and canceling out 60.