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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+1)!=0We get rid of parentheses
x∈R
1/x-9/x+1-1+4=0
We multiply all the terms by the denominator
1*x-1*x+4*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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