7/x+3=35/x-5

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Solution for 7/x+3=35/x-5 equation:



7/x+3=35/x-5
We move all terms to the left:
7/x+3-(35/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0
x∈R
We get rid of parentheses
7/x-35/x+5+3=0
We multiply all the terms by the denominator
5*x+3*x+7-35=0
We add all the numbers together, and all the variables
8x-28=0
We move all terms containing x to the left, all other terms to the right
8x=28
x=28/8
x=3+1/2

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