2x/x+3=3/x-10+2

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Solution for 2x/x+3=3/x-10+2 equation:



2x/x+3=3/x-10+2
We move all terms to the left:
2x/x+3-(3/x-10+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-10+2)!=0
We move all terms containing x to the left, all other terms to the right
x+2)!=10
x∈R
We add all the numbers together, and all the variables
2x/x-(3/x-8)+3=0
We get rid of parentheses
2x/x-3/x+8+3=0
We multiply all the terms by the denominator
2x+8*x+3*x-3=0
We add all the numbers together, and all the variables
13x-3=0
We move all terms containing x to the left, all other terms to the right
13x=3
x=3/13
x=3/13

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