4/(2x-1)=-3/x+1

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Solution for 4/(2x-1)=-3/x+1 equation: 



4/(2x-1)=-3/x+1

We move all terms to the left:

4/(2x-1)-(-3/x+1)=0



Domain of the equation: (2x-1)!=0

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

2x!=1

x!=1/2

x!=1/2

x∈R





Domain of the equation: x+1)!=0

x∈R



We get rid of parentheses

4/(2x-1)+3/x-1=0

We calculate fractions


4x/(2x^2-1x)+(6x-3)/(2x^2-1x)-1=0

We multiply all the terms by the denominator


4x+(6x-3)-1*(2x^2-1x)=0

We get rid of parentheses

4x+6x-1*(2x^2-1x)-3=0

We add all the numbers together, and all the variables

10x-1*(2x^2-1x)-3=0

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

10x-1*(2x^2-1x)=3

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