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200x+50000-x\times 500=0
Subtract x\times 500 from both sides.
-300x+50000=0
Combine 200x and -x\times 500 to get -300x.
-300x=-50000
Subtract 50000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-50000}{-300}
Divide both sides by -300.
x=\frac{500}{3}
Reduce the fraction \frac{-50000}{-300} to lowest terms by extracting and canceling out -100.