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7/x+5=10/x+2
We move all terms to the left:
7/x+5-(10/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We get rid of parentheses
x∈R
7/x-10/x-2+5=0
We multiply all the terms by the denominator
-2*x+5*x+7-10=0
We add all the numbers together, and all the variables
3x-3=0
We move all terms containing x to the left, all other terms to the right
3x=3
x=3/3
x=1
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