5/(2x+7)=2/(x+2)

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Solution for 5/(2x+7)=2/(x+2) equation: 



5/(2x+7)=2/(x+2)

We move all terms to the left:

5/(2x+7)-(2/(x+2))=0



Domain of the equation: (2x+7)!=0

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

2x!=-7

x!=-7/2

x!=-3+1/2

x∈R





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

x∈R



We calculate fractions


5x/((2x+7)*(x+2)))+(-(2*(2x+7))/((2x+7)*(x+2)))=0



We calculate terms in parentheses: -(2*(2x+7))/((2x+7)*(x+2))), so:

2*(2x+7))/((2x+7)*(x+2))

We multiply all the terms by the denominator


2*(2x+7))

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+5x/((2x+7)*(x+2)))+(=0

We multiply all the terms by the denominator


-4x*((2x+7)*(x+2)))+(+5x=0

We add all the numbers together, and all the variables

5x-4x*((2x+7)*(x+2)))+(=0

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