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