(x-5)/(3x+1)=-1

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Solution for (x-5)/(3x+1)=-1 equation:



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

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