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10/x-7=4/x+2
We move all terms to the left:
10/x-7-(4/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We get rid of parentheses
x∈R
10/x-4/x-2-7=0
We multiply all the terms by the denominator
-2*x-7*x+10-4=0
We add all the numbers together, and all the variables
-9x+6=0
We move all terms containing x to the left, all other terms to the right
-9x=-6
x=-6/-9
x=2/3
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