3/4(x-2)=2/5(x+4)

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Solution for 3/4(x-2)=2/5(x+4) equation:



3/4(x-2)=2/5(x+4)
We move all terms to the left:
3/4(x-2)-(2/5(x+4))=0
Domain of the equation: 4(x-2)!=0
x∈R
Domain of the equation: 5(x+4))!=0
x∈R
We calculate fractions
(15xx/(4(x-2)*5(x+4)))+(-8xx/(4(x-2)*5(x+4)))=0
We calculate terms in parentheses: +(15xx/(4(x-2)*5(x+4))), so:
15xx/(4(x-2)*5(x+4))
We multiply all the terms by the denominator
15xx
Back to the equation:
+(15xx)
We calculate terms in parentheses: +(-8xx/(4(x-2)*5(x+4))), so:
-8xx/(4(x-2)*5(x+4))
We multiply all the terms by the denominator
-8xx
Back to the equation:
+(-8xx)
We get rid of parentheses
15xx-8xx=0

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