2x-2/3(x-3)=1/3[x-1/2(3x+1)]

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2x-2/3(x-3)=1/3[x-1/2(3x+1)]

6x-2(x-3)=x-1/2(3x+1);
6x-2x+6=x-3/2x-1/2;
6x-2x-x+3/2x=-1/2-6;
9/2x=-13/2;
x=-13/9.