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6/x-5=3/x-1
We move all terms to the left:
6/x-5-(3/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
6/x-3/x+1-5=0
We multiply all the terms by the denominator
1*x-5*x+6-3=0
We add all the numbers together, and all the variables
-4x+3=0
We move all terms containing x to the left, all other terms to the right
-4x=-3
x=-3/-4
x=3/4
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