Final answer:
To solve the equation 12 = -4(-6x - 3), you distribute the -4, subtract 12 from both sides, and then divide by 24 to isolate x, resulting in x = 0.
Step-by-step explanation:
To solve the equation 12 = -4(-6x - 3), you'll need to perform algebraic operations to isolate the variable x. First, distribute the -4 inside the parentheses:
-4 * -6x gives you 24x, and -4 * -3 gives you 12, resulting in the equation 12 = 24x + 12.
Next, subtract 12 from both sides to get the variables on one side and the constants on the other:
12 - 12 = 24x + 12 - 12, simplifying to 0 = 24x.
Now, divide both sides by 24 to solve for x:
0/24 = 24x/24, which simplifies to x = 0.