3/(x-4)-2/(x+3)=-19/10

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Solution for 3/(x-4)-2/(x+3)=-19/10 equation: 



3/(x-4)-2/(x+3)=-19/10

We move all terms to the left:

3/(x-4)-2/(x+3)-(-19/10)=0



Domain of the equation: (x-4)!=0

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

x!=4

x∈R





Domain of the equation: (x+3)!=0

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

x!=-3

x∈R



We get rid of parentheses

3/(x-4)-2/(x+3)+19/10=0

We calculate fractions


(30x+90)/((x-4)*(x+3)*10)+(-20x+80)/((x-4)*(x+3)*10)+(19*(x-4)*(x+3))/((x-4)*(x+3)*10)=0



We calculate terms in parentheses: +(30x+90)/((x-4)*(x+3)*10), so:

30x+90)/((x-4)*(x+3)*10

We multiply all the terms by the denominator


30x*((x-4)*(x+3)*10+90)

Back to the equation:

+(30x*((x-4)*(x+3)*10+90))





We calculate terms in parentheses: +(-20x+80)/((x-4)*(x+3)*10), so:

-20x+80)/((x-4)*(x+3)*10

We multiply all the terms by the denominator


-20x*((x-4)*(x+3)*10+80)

Back to the equation:

+(-20x*((x-4)*(x+3)*10+80))





We calculate terms in parentheses: +(19*(x-4)*(x+3))/((x-4)*(x+3)*10), so:

19*(x-4)*(x+3))/((x-4)*(x+3)*10

We multiply all the terms by the denominator


19*(x-4)*(x+3))

Back to the equation:

+(19*(x-4)*(x+3)))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms in parentheses: +(30x*((x-4)*(x+3)*10+90)), so:

30x*((x-4)*(x+3)*10+90)





We calculate terms in parentheses: +(-20x*((x-4)*(x+3)*10+80)), so:

-20x*((x-4)*(x+3)*10+80)





We calculate terms in parentheses: +(19*(x-4)*(x+3))), so:

19*(x-4)*(x+3))





We calculate terms i

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