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5\times 500-1600x=360
Multiply both sides of the equation by 40.
2500-1600x=360
Multiply 5 and 500 to get 2500.
-1600x=360-2500
Subtract 2500 from both sides.
-1600x=-2140
Subtract 2500 from 360 to get -2140.
x=\frac{-2140}{-1600}
Divide both sides by -1600.
x=\frac{107}{80}
Reduce the fraction \frac{-2140}{-1600} to lowest terms by extracting and canceling out -20.