3x/x-5=15/x-5+7

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Solution for 3x/x-5=15/x-5+7 equation: 



3x/x-5=15/x-5+7

We move all terms to the left:

3x/x-5-(15/x-5+7)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-5+7)!=0

We move all terms containing x to the left, all other terms to the right

x+7)!=5

x∈R



We add all the numbers together, and all the variables

3x/x-(15/x+2)-5=0

We get rid of parentheses

3x/x-15/x-2-5=0

We multiply all the terms by the denominator


3x-2*x-5*x-15=0

We add all the numbers together, and all the variables

-4x-15=0

We move all terms containing x to the left, all other terms to the right

-4x=15

x=15/-4

x=-3+3/4

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