5/(2x+4)=3/(4x+8)

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Solution for 5/(2x+4)=3/(4x+8) equation:



5/(2x+4)=3/(4x+8)
We move all terms to the left:
5/(2x+4)-(3/(4x+8))=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: (4x+8))!=0
x∈R
We calculate fractions
20x/((2x+4)*(4x+8)))+(-(3*(2x+4))/((2x+4)*(4x+8)))=0
We calculate terms in parentheses: -(3*(2x+4))/((2x+4)*(4x+8))), so:
3*(2x+4))/((2x+4)*(4x+8))
We multiply all the terms by the denominator
3*(2x+4))
We multiply parentheses
6x+
We add all the numbers together, and all the variables
6x
Back to the equation:
-(6x)
We add all the numbers together, and all the variables
-6x+20x/((2x+4)*(4x+8)))+(=0
We multiply all the terms by the denominator
-6x*((2x+4)*(4x+8)))+(+20x=0
We add all the numbers together, and all the variables
20x-6x*((2x+4)*(4x+8)))+(=0

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