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7/x-3=-2/x+5
We move all terms to the left:
7/x-3-(-2/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
7/x+2/x-5-3=0
We multiply all the terms by the denominator
-5*x-3*x+7+2=0
We add all the numbers together, and all the variables
-8x+9=0
We move all terms containing x to the left, all other terms to the right
-8x=-9
x=-9/-8
x=1+1/8
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