10/x-2+3=5x/x-2

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Solution for 10/x-2+3=5x/x-2 equation: 



10/x-2+3=5x/x-2

We move all terms to the left:

10/x-2+3-(5x/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

10/x-(5x/x-2)+1=0

We get rid of parentheses

10/x-5x/x+2+1=0

We multiply all the terms by the denominator


-5x+2*x+1*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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