(99-x)/(100-x)=98/100

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Solution for (99-x)/(100-x)=98/100 equation: 



(99-x)/(100-x)=98/100

We move all terms to the left:

(99-x)/(100-x)-(98/100)=0



Domain of the equation: (100-x)!=0

We move all terms containing x to the left, all other terms to the right

-x!=-100

x!=-100/-1

x!=+100

x∈R



We add all the numbers together, and all the variables

(-1x+99)/(-1x+100)-(+98/100)=0

We get rid of parentheses

(-1x+99)/(-1x+100)-98/100=0

We calculate fractions


(-100x+9900)/(-100x+10000)+(98x-9800)/(-100x+10000)=0

We multiply all the terms by the denominator


(-100x+9900)+(98x-9800)=0

We get rid of parentheses

-100x+98x+9900-9800=0

We add all the numbers together, and all the variables

-2x+100=0

We move all terms containing x to the left, all other terms to the right

-2x=-100

x=-100/-2

x=+50

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