3/(5-x)=2/x

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Solution for 3/(5-x)=2/x equation: 



3/(5-x)=2/x

We move all terms to the left:

3/(5-x)-(2/x)=0



Domain of the equation: (5-x)!=0

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

-x!=-5

x!=-5/-1

x!=+5

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

3/(-1x+5)-(+2/x)=0

We get rid of parentheses

3/(-1x+5)-2/x=0

We calculate fractions


3x/(-1x^2+5x)+(2x-10)/(-1x^2+5x)=0

We multiply all the terms by the denominator


3x+(2x-10)=0

We get rid of parentheses

3x+2x-10=0

We add all the numbers together, and all the variables

5x-10=0

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

5x=10

x=10/5

x=2

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