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\frac{x}{50}+\frac{x}{70}=\frac{5}{3}
Divide both sides by 3.
21x+15x=1750
Multiply both sides of the equation by 1050, the least common multiple of 50,70,3.
36x=1750
Combine 21x and 15x to get 36x.
x=\frac{1750}{36}
Divide both sides by 36.
x=\frac{875}{18}
Reduce the fraction \frac{1750}{36} to lowest terms by extracting and canceling out 2.