1/(x+4)-1/(x-7)=11/30

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Solution for 1/(x+4)-1/(x-7)=11/30 equation: 



1/(x+4)-1/(x-7)=11/30

We move all terms to the left:

1/(x+4)-1/(x-7)-(11/30)=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-7)!=0

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

x!=7

x∈R



We add all the numbers together, and all the variables

1/(x+4)-1/(x-7)-(+11/30)=0

We get rid of parentheses

1/(x+4)-1/(x-7)-11/30=0

We calculate fractions


(30x-210)/((x+4)*(x-7)*30)+(-30x-120)/((x+4)*(x-7)*30)+(-11*(x+4)*(x-7))/((x+4)*(x-7)*30)=0



We calculate terms in parentheses: +(30x-210)/((x+4)*(x-7)*30), so:

30x-210)/((x+4)*(x-7)*30

We multiply all the terms by the denominator


30x*((x+4)*(x-7)*30-210)

Back to the equation:

+(30x*((x+4)*(x-7)*30-210))





We calculate terms in parentheses: +(-30x-120)/((x+4)*(x-7)*30), so:

-30x-120)/((x+4)*(x-7)*30

We multiply all the terms by the denominator


-30x*((x+4)*(x-7)*30-120)

Back to the equation:

+(-30x*((x+4)*(x-7)*30-120))





We calculate terms in parentheses: +(-11*(x+4)*(x-7))/((x+4)*(x-7)*30), so:

-11*(x+4)*(x-7))/((x+4)*(x-7)*30

We multiply all the terms by the denominator


-11*(x+4)*(x-7))

Back to the equation:

+(-11*(x+4)*(x-7)))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate terms in parentheses: +(-11*(x+4)*(x-7))), so:

-11*(x+4)*(x-7))





We calculate terms in parentheses: +(30x*((x+4)*(x-7)*30-210)), so:

30x*((x+4)*(x-7)*30-210)





We calculate terms in parentheses: +(-30x*((x+4)*(x-7)*30-120)), so:

-30x*((x+4)*(x-7)*30-120)





We calculate t

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