Solve for x
x=9
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\frac{80x}{1112+80x}=\frac{18000}{45800}
Divide both sides by 45800.
\frac{80x}{1112+80x}=\frac{90}{229}
Reduce the fraction \frac{18000}{45800} to lowest terms by extracting and canceling out 200.
229\times 80x=720\left(10x+139\right)
Variable x cannot be equal to -\frac{139}{10} since division by zero is not defined. Multiply both sides of the equation by 1832\left(10x+139\right), the least common multiple of 1112+80x,229.
18320x=720\left(10x+139\right)
Multiply 229 and 80 to get 18320.
18320x=7200x+100080
Use the distributive property to multiply 720 by 10x+139.
18320x-7200x=100080
Subtract 7200x from both sides.
11120x=100080
Combine 18320x and -7200x to get 11120x.
x=\frac{100080}{11120}
Divide both sides by 11120.
x=9
Divide 100080 by 11120 to get 9.
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