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7/x+4=10/x+20
We move all terms to the left:
7/x+4-(10/x+20)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+20)!=0We get rid of parentheses
x∈R
7/x-10/x-20+4=0
We multiply all the terms by the denominator
-20*x+4*x+7-10=0
We add all the numbers together, and all the variables
-16x-3=0
We move all terms containing x to the left, all other terms to the right
-16x=3
x=3/-16
x=-3/16
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