Solve for x
x = \frac{9993}{200} = 49\frac{193}{200} = 49.965
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14=100x+20000-500x
Use the distributive property to multiply 500 by 40-x.
14=-400x+20000
Combine 100x and -500x to get -400x.
-400x+20000=14
Swap sides so that all variable terms are on the left hand side.
-400x=14-20000
Subtract 20000 from both sides.
-400x=-19986
Subtract 20000 from 14 to get -19986.
x=\frac{-19986}{-400}
Divide both sides by -400.
x=\frac{9993}{200}
Reduce the fraction \frac{-19986}{-400} to lowest terms by extracting and canceling out -2.
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