14/(2+x)=12/(2x+3)

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Solution for 14/(2+x)=12/(2x+3) equation: 



14/(2+x)=12/(2x+3)

We move all terms to the left:

14/(2+x)-(12/(2x+3))=0



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

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

x!=-2

x∈R





Domain of the equation: (2x+3))!=0

x∈R



We add all the numbers together, and all the variables

14/(x+2)-(12/(2x+3))=0

We calculate fractions


28x/((x+2)*(2x+3)))+(-(12*(x+2))/((x+2)*(2x+3)))=0



We calculate terms in parentheses: -(12*(x+2))/((x+2)*(2x+3))), so:

12*(x+2))/((x+2)*(2x+3))

We multiply all the terms by the denominator


12*(x+2))

We multiply parentheses

12x+

We add all the numbers together, and all the variables

12x

Back to the equation:

-(12x)



We add all the numbers together, and all the variables

-12x+28x/((x+2)*(2x+3)))+(=0

We multiply all the terms by the denominator


-12x*((x+2)*(2x+3)))+(+28x=0

We add all the numbers together, and all the variables

28x-12x*((x+2)*(2x+3)))+(=0

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