2/(3x+10)=1/(x-1)

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Solution for 2/(3x+10)=1/(x-1) equation: 



2/(3x+10)=1/(x-1)

We move all terms to the left:

2/(3x+10)-(1/(x-1))=0



Domain of the equation: (3x+10)!=0

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

3x!=-10

x!=-10/3

x!=-3+1/3

x∈R





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

x∈R



We calculate fractions


2x/((3x+10)*(x-1)))+(-(1*(3x+10))/((3x+10)*(x-1)))=0



We calculate terms in parentheses: -(1*(3x+10))/((3x+10)*(x-1))), so:

1*(3x+10))/((3x+10)*(x-1))

We multiply all the terms by the denominator


1*(3x+10))

Back to the equation:

-(1*(3x+10)))



We multiply all the terms by the denominator


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

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