12/(2x-4)=10/(x+1)

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Solution for 12/(2x-4)=10/(x+1) equation: 



12/(2x-4)=10/(x+1)

We move all terms to the left:

12/(2x-4)-(10/(x+1))=0



Domain of the equation: (2x-4)!=0

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

2x!=4

x!=4/2

x!=2

x∈R





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

x∈R



We calculate fractions


12x/((2x-4)*(x+1)))+(-(10*(2x-4))/((2x-4)*(x+1)))=0



We calculate terms in parentheses: -(10*(2x-4))/((2x-4)*(x+1))), so:

10*(2x-4))/((2x-4)*(x+1))

We multiply all the terms by the denominator


10*(2x-4))

We multiply parentheses

20x+

We add all the numbers together, and all the variables

20x

Back to the equation:

-(20x)



We add all the numbers together, and all the variables

-20x+12x/((2x-4)*(x+1)))+(=0

We multiply all the terms by the denominator


-20x*((2x-4)*(x+1)))+(+12x=0

We add all the numbers together, and all the variables

12x-20x*((2x-4)*(x+1)))+(=0

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