x/x-4=4/x-4+5

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



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

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