(x)/(x+5)=(3)/(5)

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



(x)/(x+5)=(3)/(5)
We move all terms to the left:
(x)/(x+5)-((3)/(5))=0
Domain of the equation: (x+5)!=0
We move all terms containing x to the left, all other terms to the right
x!=-5
x∈R
We add all the numbers together, and all the variables
x/(x+5)-(+3/5)=0
We get rid of parentheses
x/(x+5)-3/5=0
We calculate fractions
5x/(5x+25)+(-3x-15)/(5x+25)=0
We multiply all the terms by the denominator
5x+(-3x-15)=0
We get rid of parentheses
5x-3x-15=0
We add all the numbers together, and all the variables
2x-15=0
We move all terms containing x to the left, all other terms to the right
2x=15
x=15/2
x=7+1/2

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