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40/x+10=4/x-3
We move all terms to the left:
40/x+10-(4/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We get rid of parentheses
x∈R
40/x-4/x+3+10=0
We multiply all the terms by the denominator
3*x+10*x+40-4=0
We add all the numbers together, and all the variables
13x+36=0
We move all terms containing x to the left, all other terms to the right
13x=-36
x=-36/13
x=-2+10/13
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