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1/3(x-2)+5/6(x+4)=x-2
We move all terms to the left:
1/3(x-2)+5/6(x+4)-(x-2)=0
Domain of the equation: 3(x-2)!=0
x∈R
Domain of the equation: 6(x+4)!=0We get rid of parentheses
x∈R
1/3(x-2)+5/6(x+4)-x+2=0
We calculate fractions
-x+(6xx/(3(x-2)*6(x+4))+(15xx/(3(x-2)*6(x+4))+2=0
We can not solve this equation
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