5/(2x+6)=38/(4x+8)

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Solution for 5/(2x+6)=38/(4x+8) equation: 



5/(2x+6)=38/(4x+8)

We move all terms to the left:

5/(2x+6)-(38/(4x+8))=0



Domain of the equation: (2x+6)!=0

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

2x!=-6

x!=-6/2

x!=-3

x∈R





Domain of the equation: (4x+8))!=0

x∈R



We calculate fractions


20x/((2x+6)*(4x+8)))+(-(38*(2x+6))/((2x+6)*(4x+8)))=0



We calculate terms in parentheses: -(38*(2x+6))/((2x+6)*(4x+8))), so:

38*(2x+6))/((2x+6)*(4x+8))

We multiply all the terms by the denominator


38*(2x+6))

We multiply parentheses

76x+

We add all the numbers together, and all the variables

76x

Back to the equation:

-(76x)



We add all the numbers together, and all the variables

-76x+20x/((2x+6)*(4x+8)))+(=0

We multiply all the terms by the denominator


-76x*((2x+6)*(4x+8)))+(+20x=0

We add all the numbers together, and all the variables

20x-76x*((2x+6)*(4x+8)))+(=0

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