x-1/x-3=x-5/x-7

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Solution for x-1/x-3=x-5/x-7 equation:



x-1/x-3=x-5/x-7
We move all terms to the left:
x-1/x-3-(x-5/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0
x∈R
We get rid of parentheses
x-1/x-x+5/x+7-3=0
We multiply all the terms by the denominator
x*x-x*x+7*x-3*x-1+5=0
We add all the numbers together, and all the variables
4x+x*x-x*x+4=0
Wy multiply elements
x^2-1x^2+4x+4=0
We add all the numbers together, and all the variables
4x+4=0
We move all terms containing x to the left, all other terms to the right
4x=-4
x=-4/4
x=-1

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