4/(5x+15)-5/(5x-15)=3/5

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Solution for 4/(5x+15)-5/(5x-15)=3/5 equation: 



4/(5x+15)-5/(5x-15)=3/5

We move all terms to the left:

4/(5x+15)-5/(5x-15)-(3/5)=0



Domain of the equation: (5x+15)!=0

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

5x!=-15

x!=-15/5

x!=-3

x∈R





Domain of the equation: (5x-15)!=0

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

5x!=15

x!=15/5

x!=3

x∈R



We add all the numbers together, and all the variables

4/(5x+15)-5/(5x-15)-(+3/5)=0

We get rid of parentheses

4/(5x+15)-5/(5x-15)-3/5=0

We calculate fractions


(100x-300)/((5x+15)*(5x-15)*5)+(-125x-375)/((5x+15)*(5x-15)*5)+(-3*(5x+15)*(5x-15))/((5x+15)*(5x-15)*5)=0



We calculate terms in parentheses: +(100x-300)/((5x+15)*(5x-15)*5), so:

100x-300)/((5x+15)*(5x-15)*5

We multiply all the terms by the denominator


100x*((5x+15)*(5x-15)*5-300)

Back to the equation:

+(100x*((5x+15)*(5x-15)*5-300))





We calculate terms in parentheses: +(-125x-375)/((5x+15)*(5x-15)*5), so:

-125x-375)/((5x+15)*(5x-15)*5

We multiply all the terms by the denominator


-125x*((5x+15)*(5x-15)*5-375)

Back to the equation:

+(-125x*((5x+15)*(5x-15)*5-375))





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))/((5x+15)*(5x-15)*5), so:

-3*(5x+15)*(5x-15))/((5x+15)*(5x-15)*5

We multiply all the terms by the denominator


-3*(5x+15)*(5x-15))

Back to the equation:

+(-3*(5x+15)*(5x-15)))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parentheses: +(100x*((5x+15)*(5x-15)*5-300)), so:

100x*((5x+15)*(5x-15)*5-300)





We calculate terms in parentheses: +(-125x*((5x+15)*(5x-15)*5-375)), so:

-125x*((5x+15)*(5x-15)*5-375)





We calculate terms in parentheses: +(-3*(5x+15)*(5x-15))), so:

-3*(5x+15)*(5x-15))





We calculate terms in parenthe

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