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445-260-85=250x\times \frac{1}{500}
Multiply both sides of the equation by 500, the least common multiple of 2,500.
185-85=250x\times \frac{1}{500}
Subtract 260 from 445 to get 185.
100=250x\times \frac{1}{500}
Subtract 85 from 185 to get 100.
100=\frac{250}{500}x
Multiply 250 and \frac{1}{500} to get \frac{250}{500}.
100=\frac{1}{2}x
Reduce the fraction \frac{250}{500} to lowest terms by extracting and canceling out 250.
\frac{1}{2}x=100
Swap sides so that all variable terms are on the left hand side.
x=100\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=200
Multiply 100 and 2 to get 200.