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