Solve for x
x=\frac{209983}{209991}\approx 0.999961903
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204-108x=2800\left(900-900x\right)
Add 96 and 108 to get 204.
204-108x=2520000-2520000x
Use the distributive property to multiply 2800 by 900-900x.
204-108x+2520000x=2520000
Add 2520000x to both sides.
204+2519892x=2520000
Combine -108x and 2520000x to get 2519892x.
2519892x=2520000-204
Subtract 204 from both sides.
2519892x=2519796
Subtract 204 from 2520000 to get 2519796.
x=\frac{2519796}{2519892}
Divide both sides by 2519892.
x=\frac{209983}{209991}
Reduce the fraction \frac{2519796}{2519892} to lowest terms by extracting and canceling out 12.
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