Solve for x

Question

. 

−3(−4x−3)=−27

(1 point)
Responses

x=3
x equals 3

x=−3
x equals negative 3

x=−2
x equals negative 2

x=2

Answer 1

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

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

Now, the equation is:

\[ 12x + 9 = -27 \]

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

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

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

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

So, the solution is:

\[ \boxed{-3} \]

Thus, the response is \(x = -3\) or \(x\) equals negative 3.