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\frac{1540\times 10}{3}+120x-35000=0
Express \frac{1540}{3}\times 10 as a single fraction.
\frac{15400}{3}+120x-35000=0
Multiply 1540 and 10 to get 15400.
\frac{15400}{3}+120x-\frac{105000}{3}=0
Convert 35000 to fraction \frac{105000}{3}.
\frac{15400-105000}{3}+120x=0
Since \frac{15400}{3} and \frac{105000}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{89600}{3}+120x=0
Subtract 105000 from 15400 to get -89600.
120x=\frac{89600}{3}
Add \frac{89600}{3} to both sides. Anything plus zero gives itself.
x=\frac{\frac{89600}{3}}{120}
Divide both sides by 120.
x=\frac{89600}{3\times 120}
Express \frac{\frac{89600}{3}}{120} as a single fraction.
x=\frac{89600}{360}
Multiply 3 and 120 to get 360.
x=\frac{2240}{9}
Reduce the fraction \frac{89600}{360} to lowest terms by extracting and canceling out 40.