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