3x/x-5=15/x-5+4

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Solution for 3x/x-5=15/x-5+4 equation:



3x/x-5=15/x-5+4
We move all terms to the left:
3x/x-5-(15/x-5+4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5+4)!=0
We move all terms containing x to the left, all other terms to the right
x+4)!=5
x∈R
We add all the numbers together, and all the variables
3x/x-(15/x-1)-5=0
We get rid of parentheses
3x/x-15/x+1-5=0
We multiply all the terms by the denominator
3x+1*x-5*x-15=0
We add all the numbers together, and all the variables
-1x-15=0
We move all terms containing x to the left, all other terms to the right
-x=15
x=15/-1
x=-15

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