1/6(x-5)=-4/5(x+2)

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Solution for 1/6(x-5)=-4/5(x+2) equation:



1/6(x-5)=-4/5(x+2)
We move all terms to the left:
1/6(x-5)-(-4/5(x+2))=0
Domain of the equation: 6(x-5)!=0
x∈R
Domain of the equation: 5(x+2))!=0
x∈R
We calculate fractions
(5xx/(6(x-5)*5(x+2)))+(-(-24xx)/(6(x-5)*5(x+2)))=0
We calculate terms in parentheses: +(5xx/(6(x-5)*5(x+2))), so:
5xx/(6(x-5)*5(x+2))
We multiply all the terms by the denominator
5xx
Back to the equation:
+(5xx)
We calculate terms in parentheses: +(-(-24xx)/(6(x-5)*5(x+2))), so:
-(-24xx)/(6(x-5)*5(x+2))
We multiply all the terms by the denominator
-(-24xx)
We get rid of parentheses
24xx
Back to the equation:
+(24xx)

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