so, if say the number is "a", then half that number is just (1/2)a or a/2
two thirds of "a" is just (2/3)a or 2a/3, 6 less than that is just 2a/3 -6
thus
[tex]\bf \cfrac{1}{2}a=\cfrac{2}{3}a-6\implies \cfrac{a}{2}=\cfrac{2a}{3}-6\impliedby \textit{multiplying both sides by 6}
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6\cdot \cfrac{a}{2}=6\cdot \left( \cfrac{2a}{3}-6 \right) \implies 3a=4a-36[/tex]
and fairly sure you know what that is
