100x/(500+x)=3/4

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Solution for 100x/(500+x)=3/4 equation: 



100x/(500+x)=3/4

We move all terms to the left:

100x/(500+x)-(3/4)=0



Domain of the equation: (500+x)!=0

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

x!=-500

x∈R



We add all the numbers together, and all the variables

100x/(x+500)-(+3/4)=0

We get rid of parentheses

100x/(x+500)-3/4=0

We calculate fractions


400x/(4x+2000)+(-3x-1500)/(4x+2000)=0

We multiply all the terms by the denominator


400x+(-3x-1500)=0

We get rid of parentheses

400x-3x-1500=0

We add all the numbers together, and all the variables

397x-1500=0

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

397x=1500

x=1500/397

x=3+309/397

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