−3(−4x−3)=−27

Answer 1

To solve the equation \(-3(-4x - 3) = -27\), follow these steps:

1. First, distribute the \(-3\) to both terms inside the parentheses:

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

   So now the equation looks like this:

   \[ 12x + 9 = -27 \]

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

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

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

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

Thus, the solution to the equation is

\[ \boxed{-3} \]