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(2/x-5)+(3/x+4)=0
Domain of the equation: x-5)!=0
x∈R
Domain of the equation: x+4)!=0We get rid of parentheses
x∈R
2/x+3/x-5+4=0
We multiply all the terms by the denominator
-5*x+4*x+2+3=0
We add all the numbers together, and all the variables
-1x+5=0
We move all terms containing x to the left, all other terms to the right
-x=-5
x=-5/-1
x=+5
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