lola has 75$. she buys a pair of shoes on sale for one half off and a pair of socks for 6$. she has 32 left. which equation can be used to find x, the regular price of the shoes?

To find the regular price of the shoes (x), we need to set up an equation based on the given information.

Let's break down the information provided:

- Lola has $75 in total.
- She buys a pair of shoes on sale for one-half off (50% off).
- She also buys a pair of socks for $6.
- After her purchases, she has $32 left.

Now, we can set up an equation to find the regular price of the shoes (x).

The amount spent on shoes after the discount is 50% of the regular price (x), which means the amount paid is 50% of x or 0.5x.

The total amount spent on shoes and socks is $6 (for socks) plus the amount spent on shoes after the discount (0.5x). This total amount is equal to the initial amount Lola had minus the remaining amount of $32.

So, the equation can be written as:

0.5x + 6 = 75 - 32

Simplifying the equation further:

0.5x + 6 = 43

Now, you can solve for x by subtracting 6 from both sides of the equation:

0.5x = 43 - 6

0.5x = 37

Finally, multiply both sides of the equation by 2 to isolate x:

x = 37 * 2

x = 74

Therefore, the regular price of the shoes (x) is $74.

75 - x/2 - 6 = 32