The length of a rectangular pool is 3 meters less than twice the width. If the pool's perimeter is 96 meters, what is the width?

Write an equation that gives the length of the pool in terms of the width. Use $w$ to represent the width of the pool and $l$ to represent the length.
(Enter an equation contains the variables $l$ and $w$ )
Find the width of the pool.
(Enter a numeric response, include the correct units )
NOTE: Be sure to include the correct units in your answer. units

Step 1 ：The problem gives us two pieces of information that we can use to form two equations. The first is that the length of the pool is 3 meters less than twice the width. This can be written as \(l = 2w - 3\).

Step 2 ：The second piece of information is that the perimeter of the pool is 96 meters. The formula for the perimeter of a rectangle is \(P = 2l + 2w\). Substituting \(96\) for \(P\) and \(2w - 3\) for \(l\) in the perimeter formula gives us the equation \(96 = 2(2w - 3) + 2w\).

Step 3 ：We can solve this equation for \(w\) to find the width of the pool. The solution to the equation is 17, which means the width of the pool is 17 meters.

Step 4 ：Final Answer: The width of the pool is \(\boxed{17 \text{ meters}}\).