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2/x+1=8/x+8
We move all terms to the left:
2/x+1-(8/x+8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+8)!=0We get rid of parentheses
x∈R
2/x-8/x-8+1=0
We multiply all the terms by the denominator
-8*x+1*x+2-8=0
We add all the numbers together, and all the variables
-7x-6=0
We move all terms containing x to the left, all other terms to the right
-7x=6
x=6/-7
x=-6/7
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