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