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