Solve for x
x = \frac{1575}{94} = 16\frac{71}{94} \approx 16.755319149
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\left(x-50\right)\times 50.4=-100x
Variable x cannot be equal to 50 since division by zero is not defined. Multiply both sides of the equation by 100\left(x-50\right), the least common multiple of 100,50-x.
50.4x-2520=-100x
Use the distributive property to multiply x-50 by 50.4.
50.4x-2520+100x=0
Add 100x to both sides.
150.4x-2520=0
Combine 50.4x and 100x to get 150.4x.
150.4x=2520
Add 2520 to both sides. Anything plus zero gives itself.
x=\frac{2520}{150.4}
Divide both sides by 150.4.
x=\frac{25200}{1504}
Expand \frac{2520}{150.4} by multiplying both numerator and the denominator by 10.
x=\frac{1575}{94}
Reduce the fraction \frac{25200}{1504} to lowest terms by extracting and canceling out 16.
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