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;
![2x*2=3x-(9)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/dsd7yw4wr8xkeawp99drpyj3uhqnn5y2wc.png)
Step 2
Simplify the left-hand side of the equation.
![4x=3x-(9)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/z5q5h7ig66mnurhxei0d183e7ph1331tl9.png)
Step 3
Collect like term.
![4x-3x=-(9)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/8cd3e6m3c2nixwfjse20nbyknkdkkjc4lz.png)
Step 4
Simplify the above.
![x=-(9)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/tpz8cj3ur27xx5j7ainj442k2lwfkhwdvf.png)
Therefore, the number is -9/5.