(x-100)/x=2/5

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Solution for (x-100)/x=2/5 equation:



(x-100)/x=2/5
We move all terms to the left:
(x-100)/x-(2/5)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
(x-100)/x-(+2/5)=0
We get rid of parentheses
(x-100)/x-2/5=0
We calculate fractions
(5x-500)/5x+(-2x)/5x=0
We multiply all the terms by the denominator
(5x-500)+(-2x)=0
We get rid of parentheses
5x-2x-500=0
We add all the numbers together, and all the variables
3x-500=0
We move all terms containing x to the left, all other terms to the right
3x=500
x=500/3
x=166+2/3

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