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

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



3/(2x-1)=2/(1-x)
We move all terms to the left:
3/(2x-1)-(2/(1-x))=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: (1-x))!=0
We move all terms containing x to the left, all other terms to the right
-x)!=-1
x!=-1/1
x!=-1
x∈R
We add all the numbers together, and all the variables
3/(2x-1)-(2/(-1x+1))=0
We calculate fractions
(-3x)/((2x-1)*(-1x+1)))+(-(2*(2x-1))/((2x-1)*(-1x+1)))=0
We calculate terms in parentheses: -(2*(2x-1))/((2x-1)*(-1x+1))), so:
2*(2x-1))/((2x-1)*(-1x+1))
We multiply all the terms by the denominator
2*(2x-1))
We multiply parentheses
4x+
We add all the numbers together, and all the variables
4x
Back to the equation:
-(4x)
We add all the numbers together, and all the variables
-4x+(-3x)/((2x-1)*(-1x+1)))+(=0
We multiply all the terms by the denominator
-4x*((2x-1)*(-1x+1)))+(+(-3x)=0
We get rid of parentheses
-4x*((2x-1)*(-1x+1)))+(-3x=0
We add all the numbers together, and all the variables
-3x-4x*((2x-1)*(-1x+1)))+(=0

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