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