Solve for x. −3(−4x−3)=−27 (1 point) Responses x=3 x equals 3 x=−2 x equals negative 2 x=2 x equals 2 x=−3 x equals negative 3

Answer 1

To solve the equation \(-3(-4x - 3) = -27\), we can start by distributing the \(-3\) on the left side.

\[ -3 \cdot -4x - 3 \cdot -3 = -27 \]

This simplifies to:

\[ 12x + 9 = -27 \]

Next, to isolate \(x\), subtract \(9\) from both sides:

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

This simplifies to:

\[ 12x = -36 \]

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

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

This simplifies to:

\[ x = -3 \]

So, the solution is \(x = -3\).

Therefore, the correct answer is:

x equals negative 3.