Since we don't know the number yet, we'll give it a name.
That will make it easier to work with.
It can have any name. I've decided to call it ' Z '.
-- The number Z
-- Two thirds of the number 2/3 Z
-- Two thirds of the number plus 4 2/3 Z + 4
The question says that makes 7 : 2/3 Z + 4 = 7
Subtract 4 from each side: 2/3 Z = 3
Multiply each side by 3 : 2 Z = 9
Divide each side by 2 : Z = 4.5