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500x+250-250x=312.5
Use the distributive property to multiply 250 by 1-x.
250x+250=312.5
Combine 500x and -250x to get 250x.
250x=312.5-250
Subtract 250 from both sides.
250x=62.5
Subtract 250 from 312.5 to get 62.5.
x=\frac{62.5}{250}
Divide both sides by 250.
x=\frac{625}{2500}
Expand \frac{62.5}{250} by multiplying both numerator and the denominator by 10.
x=\frac{1}{4}
Reduce the fraction \frac{625}{2500} to lowest terms by extracting and canceling out 625.