Answer:

Explanation:
The perimeter of a rectangle is given by the formula:

Where l is the length and w is the width.
We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:

Distribute:

Combine like terms and add:

Subtract 2 from both sides:

Divide both side by 6:

Thus, the value of x is 13.