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