Find a number such that one-half of the number is 2 less than two-thirds of the number

From that statement, we can go about making an expression.

Half of the number (x), is equal to 2 less than 2/3rds of the number:

0.5x = (2/3) x - 2

1.5x = 2x - 6

-0.5x = - 6

0.5x = 6

x = 12

So a number that such that statement is true is 12.