5/x+5+1/x-2=8/x-6

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Solution for 5/x+5+1/x-2=8/x-6 equation:



5/x+5+1/x-2=8/x-6
We move all terms to the left:
5/x+5+1/x-2-(8/x-6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-6)!=0
x∈R
We add all the numbers together, and all the variables
5/x+1/x-(8/x-6)+3=0
We get rid of parentheses
5/x+1/x-8/x+6+3=0
We multiply all the terms by the denominator
6*x+3*x+5+1-8=0
We add all the numbers together, and all the variables
9x-2=0
We move all terms containing x to the left, all other terms to the right
9x=2
x=2/9
x=2/9

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