Solve for x
x=2000
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\frac{1}{5}x-x=-1600
Subtract x from both sides.
-\frac{4}{5}x=-1600
Combine \frac{1}{5}x and -x to get -\frac{4}{5}x.
x=-1600\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
x=\frac{-1600\left(-5\right)}{4}
Express -1600\left(-\frac{5}{4}\right) as a single fraction.
x=\frac{8000}{4}
Multiply -1600 and -5 to get 8000.
x=2000
Divide 8000 by 4 to get 2000.
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