Solve for x .

Question

−3(−4x−3)=−27

(1 point)
Responses

x=3
x equals 3

x=2
x equals 2

x=−3
x equals negative 3

x=−2
x equals negative 2
Skip to navigation
page 11 of 11

Answer 1

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

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

2. Next, isolate the term with \(x\) by subtracting \(9\) from both sides: \[ 12x = -27 - 9 \] Which simplifies to: \[ 12x = -36 \]

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

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

The correct response from the options given is: x = −3.