7/x+4=5/x-2

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Solution for 7/x+4=5/x-2 equation:



7/x+4=5/x-2
We move all terms to the left:
7/x+4-(5/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
7/x-5/x+2+4=0
We multiply all the terms by the denominator
2*x+4*x+7-5=0
We add all the numbers together, and all the variables
6x+2=0
We move all terms containing x to the left, all other terms to the right
6x=-2
x=-2/6
x=-1/3

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