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2/x-8=10/x
We move all terms to the left:
2/x-8-(10/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
2/x-(+10/x)-8=0
We get rid of parentheses
2/x-10/x-8=0
We multiply all the terms by the denominator
-8*x+2-10=0
We add all the numbers together, and all the variables
-8x-8=0
We move all terms containing x to the left, all other terms to the right
-8x=8
x=8/-8
x=-1
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