Solve for x
x = \frac{110}{7} = 15\frac{5}{7} \approx 15.714285714
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20160=0.14\times 4200\left(50-x\right)
Multiply 336000 and 0.06 to get 20160.
20160=588\left(50-x\right)
Multiply 0.14 and 4200 to get 588.
20160=29400-588x
Use the distributive property to multiply 588 by 50-x.
29400-588x=20160
Swap sides so that all variable terms are on the left hand side.
-588x=20160-29400
Subtract 29400 from both sides.
-588x=-9240
Subtract 29400 from 20160 to get -9240.
x=\frac{-9240}{-588}
Divide both sides by -588.
x=\frac{110}{7}
Reduce the fraction \frac{-9240}{-588} to lowest terms by extracting and canceling out -84.
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