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