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

1 answer

To solve the equation \(-3(-4x - 3) = -27\), we first distribute the \(-3\) on the left side:

\[ -3(-4x) - 3(-3) = 12x + 9 \]

So the equation becomes:

\[ 12x + 9 = -27 \]

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

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

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

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

Thus, the solution is:

\[ \boxed{-3} \]