Verified Answer :

\(\dfrac{x}{2}=2x-3\\ x=4x-6\\ 3x=6\\ x=2\)

Answer:  The required number is 2.

Step-by-step explanation:  Given that the quotient of a number and 2 is the same as the difference of the number doubled and 3.

We are to find the number.

Let x denotes the required number.

Then, according to the given information, we have

\(\dfrac{x}{2}=2x-3\\\\\Rightarrow x=2(2x-3)\\\\\Rightarrow x=4x-6\\\\\Rightarrow 4x-x=6\\\\\Rightarrow 3x=6\\\\\Rightarrow x=\dfrac{6}{3}\\\\\Rightarrow x=2.\)

Thus, the required number is 2.