1.5/(48+2x)=7/(387.6046+x)

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Solution for 1.5/(48+2x)=7/(387.6046+x) equation:



1.5/(48+2x)=7/(387.6046+x)
We move all terms to the left:
1.5/(48+2x)-(7/(387.6046+x))=0
Domain of the equation: (48+2x)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-48
x!=-48/2
x!=-24
x∈R
Domain of the equation: (387.6046+x))!=0
We move all terms containing x to the left, all other terms to the right
x)!=-387.6046
x!=-387.6046/1
x!=-387.6046
x∈R
We add all the numbers together, and all the variables
1.5/(2x+48)-(7/(x+387.6046))=0
We calculate fractions
(1.5x)/((2x+48)*(x+387.6046)))+(-(7*(2x+48))/((2x+48)*(x+387.6046)))=0
We calculate terms in parentheses: -(7*(2x+48))/((2x+48)*(x+387.6046))), so:
7*(2x+48))/((2x+48)*(x+387.6046))
We multiply all the terms by the denominator
7*(2x+48))
We multiply parentheses
14x+
We add all the numbers together, and all the variables
14x
Back to the equation:
-(14x)
We add all the numbers together, and all the variables
(+1.5x)/((2x+48)*(x+387.6046)))+(-14x=0
We add all the numbers together, and all the variables
-14x+(+1.5x)/((2x+48)*(x+387.6046)))+(=0
We multiply all the terms by the denominator
-14x*((2x+48)*(x+387.6046)))+(+(+1.5x)=0
We get rid of parentheses
-14x*((2x+48)*(x+387.6046)))+(+1.5x=0
We add all the numbers together, and all the variables
1.5x-14x*((2x+48)*(x+387.6046)))+(=0

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