Solve for x

Question

.  m

−3(−4x−3)=−27

(1 point)
Responses

x=3
x equals 3

x=−2
x equals negative 2

x=−3
x equals negative 3

x=2

Answer 1

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

1. Distribute \(-3\) on the left side: \[ -3 \cdot -4x - 3 \cdot -3 = 12x + 9 \] So, the equation becomes: \[ 12x + 9 = -27 \]

2. Next, we will subtract \(9\) from both sides: \[ 12x + 9 - 9 = -27 - 9 \] This simplifies to: \[ 12x = -36 \]

3. Now, divide both sides by \(12\): \[ x = \frac{-36}{12} \] This simplifies to: \[ x = -3 \]

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

In the format you've shown, the response is: x=−3 (x equals negative 3).