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5/x-2=7-10/x-2
We move all terms to the left:
5/x-2-(7-10/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0We add all the numbers together, and all the variables
x∈R
5/x-(-10/x+5)-2=0
We get rid of parentheses
5/x+10/x-5-2=0
We multiply all the terms by the denominator
-5*x-2*x+5+10=0
We add all the numbers together, and all the variables
-7x+15=0
We move all terms containing x to the left, all other terms to the right
-7x=-15
x=-15/-7
x=2+1/7
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