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\frac{1540\times 18}{3}+120x-35000=0
Express \frac{1540}{3}\times 18 as a single fraction.
\frac{27720}{3}+120x-35000=0
Multiply 1540 and 18 to get 27720.
9240+120x-35000=0
Divide 27720 by 3 to get 9240.
-25760+120x=0
Subtract 35000 from 9240 to get -25760.
120x=25760
Add 25760 to both sides. Anything plus zero gives itself.
x=\frac{25760}{120}
Divide both sides by 120.
x=\frac{644}{3}
Reduce the fraction \frac{25760}{120} to lowest terms by extracting and canceling out 40.