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7/x-4=6/x-3
We move all terms to the left:
7/x-4-(6/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
7/x-6/x+3-4=0
We multiply all the terms by the denominator
3*x-4*x+7-6=0
We add all the numbers together, and all the variables
-1x+1=0
We move all terms containing x to the left, all other terms to the right
-x=-1
x=-1/-1
x=1
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