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3/x+1=6/x-7
We move all terms to the left:
3/x+1-(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
3/x-6/x+7+1=0
We multiply all the terms by the denominator
7*x+1*x+3-6=0
We add all the numbers together, and all the variables
8x-3=0
We move all terms containing x to the left, all other terms to the right
8x=3
x=3/8
x=3/8
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