(x-4)/(100-x)=3/5

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Solution for (x-4)/(100-x)=3/5 equation: 


D( x )

100-x = 0

100-x = 0

100-x = 0

100-x = 0 // - 100

-x = -100 // * -1

x = 100

x in (-oo:100) U (100:+oo)

(x-4)/(100-x) = 3/5 // - 3/5

(x-4)/(100-x)-(3/5) = 0

(x-4)/(100-x)-3/5 = 0

(5*(x-4))/(5*(100-x))+(-3*(100-x))/(5*(100-x)) = 0

5*(x-4)-3*(100-x) = 0

8*x-320 = 0

(8*x-320)/(5*(100-x)) = 0

(8*x-320)/(5*(100-x)) = 0 // * 5*(100-x)

8*x-320 = 0

8*x-320 = 0 // + 320

8*x = 320 // : 8

x = 320/8

x = 40

x = 40

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