Respuesta :

Answer:

-128x + 48 = -15

Step-by-step explanation:

I don't any  choices to pick from but using the distributive property you will multiply the -4 by everything in the parenthesis.

-4(32x - 12) = -15

=-128x + 48 = -15.

The equation that shows the correct use of the Distributive Property is (-6x + 2 = -15) and this can be determined by using the given data.

Given :

Equation  --  [tex]-4\left(\dfrac{3}{2}x-\dfrac{1}{2}\right) = - 15[/tex]

According to the Distributive property, the expression a(b + c) can be written as (ab + ac), that is:

a(b + c) = ab + ac

The following steps can be used in order to show the correct use of the Distributive property:

Step 1 - The given expression can be solved by applying the distributive property.

Step 2 - Write the given expression.

[tex]-4\left(\dfrac{3}{2}x-\dfrac{1}{2}\right) = - 15[/tex]

Step 3 - Multiply -4 by (3/2 x - 1/2) in the above expression.

[tex]\left(-6x+2}\right) = - 15[/tex]

Step 4 - Simplify the above expression.

-6x = -17

[tex]x = \dfrac{17}{6}[/tex]

Therefore, the correct option is D) –6x + 2 = –15.

For more information, refer to the link given below:

https://brainly.com/question/1776017