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8/x+5=2/x-3
We move all terms to the left:
8/x+5-(2/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
8/x-2/x+3+5=0
We multiply all the terms by the denominator
3*x+5*x+8-2=0
We add all the numbers together, and all the variables
8x+6=0
We move all terms containing x to the left, all other terms to the right
8x=-6
x=-6/8
x=-3/4
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