The number is -9/5
STEP - BY - STEP EXPLANATION
What to find?
The unknown number.
Given:
The product of twice a number and two is the same as the difference of three times the number and 9/5.
Let x be the number.
To solve, we will need to to follow the steps below:
Step 1
Translate the question into an equation.
That is;

Step 2
Simplify the left-hand side of the equation.

Step 3
Collect like term.

Step 4
Simplify the above.

Therefore, the number is -9/5.