X-1/x-3=x-4/x-5

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Solution for X-1/x-3=x-4/x-5 equation: 



X-1/X-3=X-4/X-5

We move all terms to the left:

X-1/X-3-(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-1/X-X+4/X+5-3=0

We multiply all the terms by the denominator


X*X-X*X+5*X-3*X-1+4=0

We add all the numbers together, and all the variables

2X+X*X-X*X+3=0

Wy multiply elements

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

We add all the numbers together, and all the variables

2X+3=0

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

2X=-3

X=-3/2

X=-1+1/2

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