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40/x+5=32/x-1
We move all terms to the left:
40/x+5-(32/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
40/x-32/x+1+5=0
We multiply all the terms by the denominator
1*x+5*x+40-32=0
We add all the numbers together, and all the variables
6x+8=0
We move all terms containing x to the left, all other terms to the right
6x=-8
x=-8/6
x=-1+1/3
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