Solve for x
x = \frac{1790}{71} = 25\frac{15}{71} \approx 25.211267606
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\left(x-100\right)\times 20=-120\left(28.6-0.64x\right)
Variable x cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by 120\left(x-100\right), the least common multiple of 120,100-x.
20x-2000=-120\left(28.6-0.64x\right)
Use the distributive property to multiply x-100 by 20.
20x-2000=-3432+76.8x
Use the distributive property to multiply -120 by 28.6-0.64x.
20x-2000-76.8x=-3432
Subtract 76.8x from both sides.
-56.8x-2000=-3432
Combine 20x and -76.8x to get -56.8x.
-56.8x=-3432+2000
Add 2000 to both sides.
-56.8x=-1432
Add -3432 and 2000 to get -1432.
x=\frac{-1432}{-56.8}
Divide both sides by -56.8.
x=\frac{-14320}{-568}
Expand \frac{-1432}{-56.8} by multiplying both numerator and the denominator by 10.
x=\frac{1790}{71}
Reduce the fraction \frac{-14320}{-568} to lowest terms by extracting and canceling out -8.
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