6/x+5=4/x-2

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Solution for 6/x+5=4/x-2 equation:



6/x+5=4/x-2
We move all terms to the left:
6/x+5-(4/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0
x∈R
We get rid of parentheses
6/x-4/x+2+5=0
We multiply all the terms by the denominator
2*x+5*x+6-4=0
We add all the numbers together, and all the variables
7x+2=0
We move all terms containing x to the left, all other terms to the right
7x=-2
x=-2/7
x=-2/7

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