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4/x+10=2/x+8
We move all terms to the left:
4/x+10-(2/x+8)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+8)!=0We get rid of parentheses
x∈R
4/x-2/x-8+10=0
We multiply all the terms by the denominator
-8*x+10*x+4-2=0
We add all the numbers together, and all the variables
2x+2=0
We move all terms containing x to the left, all other terms to the right
2x=-2
x=-2/2
x=-1
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