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1/x-1+4=9/x-1
We move all terms to the left:
1/x-1+4-(9/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We add all the numbers together, and all the variables
x∈R
1/x-(9/x-1)+3=0
We get rid of parentheses
1/x-9/x+1+3=0
We multiply all the terms by the denominator
1*x+3*x+1-9=0
We add all the numbers together, and all the variables
4x-8=0
We move all terms containing x to the left, all other terms to the right
4x=8
x=8/4
x=2
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