Explanation:
The equation that shows the correct use of the Distributive Property is:
-4(32x-12)=-15.
To apply the Distributive Property, we need to distribute the -4 to both terms inside the parentheses. This means we multiply -4 by each term inside the parentheses:
-4 32x=-128x
-4 * -12 = 48
So, the equation becomes:
-128x + 48 -15
Now, we can solve the equation for x by isolating the variable term. We can do this by subtracting 48 from both sides of the equation:
both sides of the equation:
-128x + 48 - 48 = -15 - 48 -128x=-63
Finally, we divide both sides of the equation by -128 to solve for x:
x = -63/-128
x = 0.4921875
Therefore, the correct use of the Distributive Property in the given equation is -4(32x-12)=-15, and the solution for x is approximately 0.4921875.