The minimum value of x will be -14.25.
Explanation:
Let the number be x. Given fifteen subtracted from the product of a number and -4 is at most 32. So, according to this given data, the equation can be written as below,

Now first solve this inequality equation,

Now on dividing and multiplying any equality by a negative number then the equality sign will change as


So, the minimum value of x will be -14.25.