2/x-2+5=17/x-2

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Solution for 2/x-2+5=17/x-2 equation:



2/x-2+5=17/x-2
We move all terms to the left:
2/x-2+5-(17/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0
x∈R
We add all the numbers together, and all the variables
2/x-(17/x-2)+3=0
We get rid of parentheses
2/x-17/x+2+3=0
We multiply all the terms by the denominator
2*x+3*x+2-17=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3

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