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2x/x-1+3=7+5/x-1
We move all terms to the left:
2x/x-1+3-(7+5/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
2x/x-(5/x+6)-1+3=0
We add all the numbers together, and all the variables
2x/x-(5/x+6)+2=0
We get rid of parentheses
2x/x-5/x-6+2=0
We multiply all the terms by the denominator
2x-6*x+2*x-5=0
We add all the numbers together, and all the variables
-2x-5=0
We move all terms containing x to the left, all other terms to the right
-2x=5
x=5/-2
x=-2+1/2
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