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