3x/(3x+5)+5/(5+3x)=10

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Solution for 3x/(3x+5)+5/(5+3x)=10 equation:



3x/(3x+5)+5/(5+3x)=10
We move all terms to the left:
3x/(3x+5)+5/(5+3x)-(10)=0
Domain of the equation: (3x+5)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-5
x!=-5/3
x!=-1+2/3
x∈R
Domain of the equation: (5+3x)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-5
x!=-5/3
x!=-1+2/3
x∈R
We add all the numbers together, and all the variables
3x/(3x+5)+5/(3x+5)-10=0
We multiply all the terms by the denominator
3x-10*(3x+5)+5=0
We multiply parentheses
3x-30x-50+5=0
We add all the numbers together, and all the variables
-27x-45=0
We move all terms containing x to the left, all other terms to the right
-27x=45
x=45/-27
x=-1+2/3
Równanie nie ma rozwiązania

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