(1)/(x+1)-(1)/(x+2)=(1)/(5)

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Solution for (1)/(x+1)-(1)/(x+2)=(1)/(5) equation: 



(1)/(x+1)-(1)/(x+2)=(1)/(5)

We move all terms to the left:

(1)/(x+1)-(1)/(x+2)-((1)/(5))=0



Domain of the equation: (x+1)!=0

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

x!=-1

x∈R





Domain of the equation: (x+2)!=0

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

x!=-2

x∈R



We add all the numbers together, and all the variables

1/(x+1)-1/(x+2)-(+1/5)=0

We get rid of parentheses

1/(x+1)-1/(x+2)-1/5=0

We calculate fractions


(5x+10)/((x+1)*(x+2)*5)+(-5x-5)/((x+1)*(x+2)*5)+(-1*(x+1)*(x+2))/((x+1)*(x+2)*5)=0



We calculate terms in parentheses: +(5x+10)/((x+1)*(x+2)*5), so:

5x+10)/((x+1)*(x+2)*5

We multiply all the terms by the denominator


5x*((x+1)*(x+2)*5+10)

Back to the equation:

+(5x*((x+1)*(x+2)*5+10))





We calculate terms in parentheses: +(-5x-5)/((x+1)*(x+2)*5), so:

-5x-5)/((x+1)*(x+2)*5

We multiply all the terms by the denominator


-5x*((x+1)*(x+2)*5-5)

Back to the equation:

+(-5x*((x+1)*(x+2)*5-5))





We calculate terms in parentheses: +(-1*(x+1)*(x+2))/((x+1)*(x+2)*5), so:

-1*(x+1)*(x+2))/((x+1)*(x+2)*5

We multiply all the terms by the denominator


-1*(x+1)*(x+2))

Back to the equation:

+(-1*(x+1)*(x+2)))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10)), so:

5x*((x+1)*(x+2)*5+10)





We calculate terms in parentheses: +(-5x*((x+1)*(x+2)*5-5)), so:

-5x*((x+1)*(x+2)*5-5)





We calculate terms in parentheses: +(-1*(x+1)*(x+2))), so:

-1*(x+1)*(x+2))





We calculate terms in parentheses: +(5x*((x+1)*(x+2)*5+10))

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