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2/x+1=7/x-10
We move all terms to the left:
2/x+1-(7/x-10)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-10)!=0We get rid of parentheses
x∈R
2/x-7/x+10+1=0
We multiply all the terms by the denominator
10*x+1*x+2-7=0
We add all the numbers together, and all the variables
11x-5=0
We move all terms containing x to the left, all other terms to the right
11x=5
x=5/11
x=5/11
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