Solve Multi-Step Linear Equations Quick Check

Question

2 of 52 of 5 Items

Question
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 2

x=−2

Answer 1

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

1. Distribute the \(-3\) on the left side of the equation: \[ -3 \cdot -4x - 3 \cdot -3 = 12x + 9 \] This gives us: \[ 12x + 9 = -27 \]

2. Next, subtract \(9\) from both sides of the equation: \[ 12x + 9 - 9 = -27 - 9 \] Simplifying that results in: \[ 12x = -36 \]

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

Thus, the solution is: \[ \boxed{x = -3} \]

The correct response would be: x=−3.