5+1/x-4=5-x/x-4

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Solution for 5+1/x-4=5-x/x-4 equation:



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

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