2/(x-3)+3/(x-6)=5

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Solution for 2/(x-3)+3/(x-6)=5 equation:



2/(x-3)+3/(x-6)=5
We move all terms to the left:
2/(x-3)+3/(x-6)-(5)=0
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
Domain of the equation: (x-6)!=0
We move all terms containing x to the left, all other terms to the right
x!=6
x∈R
We calculate fractions
(2x-12)/((x-3)*(x-6))+(3x-9)/((x-3)*(x-6))-5=0
We calculate terms in parentheses: +(2x-12)/((x-3)*(x-6)), so:
2x-12)/((x-3)*(x-6)
We multiply all the terms by the denominator
2x*((x-3)*(x-6)-12)
Back to the equation:
+(2x*((x-3)*(x-6)-12))
We calculate terms in parentheses: +(3x-9)/((x-3)*(x-6)), so:
3x-9)/((x-3)*(x-6)
We multiply all the terms by the denominator
3x*((x-3)*(x-6)-9)
Back to the equation:
+(3x*((x-3)*(x-6)-9))
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)
We calculate terms in parentheses: +(3x*((x-3)*(x-6)-9)), so:
3x*((x-3)*(x-6)-9)
We calculate terms in parentheses: +(2x*((x-3)*(x-6)-12)), so:
2x*((x-3)*(x-6)-12)

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