3/7(x-2)+2x=5/2(x+3)

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Solution for 3/7(x-2)+2x=5/2(x+3) equation:



3/7(x-2)+2x=5/2(x+3)
We move all terms to the left:
3/7(x-2)+2x-(5/2(x+3))=0
Domain of the equation: 7(x-2)!=0
x∈R
Domain of the equation: 2(x+3))!=0
x∈R
We add all the numbers together, and all the variables
2x+3/7(x-2)-(5/2(x+3))=0
We calculate fractions
2x+(6xx/(7(x-2)*2(x+3)))+(-35xx/(7(x-2)*2(x+3)))=0
We calculate terms in parentheses: +(6xx/(7(x-2)*2(x+3))), so:
6xx/(7(x-2)*2(x+3))
We multiply all the terms by the denominator
6xx
Back to the equation:
+(6xx)
We calculate terms in parentheses: +(-35xx/(7(x-2)*2(x+3))), so:
-35xx/(7(x-2)*2(x+3))
We multiply all the terms by the denominator
-35xx
Back to the equation:
+(-35xx)
We get rid of parentheses
2x+6xx-35xx=0

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