x+3/x-2=x+4/x-5

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Solution for x+3/x-2=x+4/x-5 equation: 



x+3/x-2=x+4/x-5

We move all terms to the left:

x+3/x-2-(x+4/x-5)=0



Domain of the equation: x!=0

x∈R





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

x∈R



We get rid of parentheses

x+3/x-x-4/x+5-2=0

We multiply all the terms by the denominator


x*x-x*x+5*x-2*x+3-4=0

We add all the numbers together, and all the variables

3x+x*x-x*x-1=0

Wy multiply elements

x^2-1x^2+3x-1=0

We add all the numbers together, and all the variables

3x-1=0

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

3x=1

x=1/3

x=1/3

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