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6/x-3=-6/x-7
We move all terms to the left:
6/x-3-(-6/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
6/x+6/x+7-3=0
We multiply all the terms by the denominator
7*x-3*x+6+6=0
We add all the numbers together, and all the variables
4x+12=0
We move all terms containing x to the left, all other terms to the right
4x=-12
x=-12/4
x=-3
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