x/(100+x)=4/100

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



x/(100+x)=4/100
We move all terms to the left:
x/(100+x)-(4/100)=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∈R
We add all the numbers together, and all the variables
x/(x+100)-(+4/100)=0
We get rid of parentheses
x/(x+100)-4/100=0
We calculate fractions
100x/(100x+10000)+(-4x-400)/(100x+10000)=0
We multiply all the terms by the denominator
100x+(-4x-400)=0
We get rid of parentheses
100x-4x-400=0
We add all the numbers together, and all the variables
96x-400=0
We move all terms containing x to the left, all other terms to the right
96x=400
x=400/96
x=4+1/6

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