Question

Solve for x.
-3(-4x - 3) = -27
A. x = -3
B. x = -2
C. x = 3
D. x = 2

Answer 1

are you sure this is correct

Answer 2

We start with the equation:

\[
-3(-4x - 3) = -27
\]

First, we distribute the -3 on the left side:

\[
12x + 9 = -27
\]

Next, we isolate the term with \(x\) by subtracting 9 from both sides:

\[
12x = -27 - 9
\]
\[
12x = -36
\]

Now, we solve for \(x\) by dividing both sides by 12:

\[
x = \frac{-36}{12}
\]
\[
x = -3
\]

Thus, the solution is:

\[
\boxed{-3}
\]

The correct answer is A. \(x = -3\).

Answer 3

Let's double-check the steps to ensure accuracy.

Starting with the original equation:

\[
-3(-4x - 3) = -27
\]

First, distribute the \(-3\) on the left side:

\[
-3 \cdot -4x + -3 \cdot -3 = 12x + 9
\]

So, we have:

\[
12x + 9 = -27
\]

Next, we isolate \(12x\) by subtracting \(9\) from both sides:

\[
12x = -27 - 9
\]
\[
12x = -36
\]

Now, divide both sides by \(12\):

\[
x = \frac{-36}{12}
\]
\[
x = -3
\]

Yes, the calculations are correct, and the solution for \(x\) is indeed:

\[
\boxed{-3}
\]

So, the answer is A. \(x = -3\). Thank you for your patience in confirming the solution!