Solve for x

Question

. 

−4(2x−11)=12


(1 point)
Responses

x=2
x equals 2

x=4
x equals 4

x=−4
x equals negative 4

x=−2

Answer 1

To solve the equation \(-4(2x - 11) = 12\), follow these steps:

1. Distribute the \(-4\) on the left side: \[ -4 \cdot 2x + -4 \cdot -11 = -8x + 44 \] So, we have: \[ -8x + 44 = 12 \]

2. Next, subtract \(44\) from both sides: \[ -8x + 44 - 44 = 12 - 44 \] This simplifies to: \[ -8x = -32 \]

3. Now, divide both sides by \(-8\): \[ x = \frac{-32}{-8} = 4 \]

Thus, the solution is: \[ x = 4 \]

The correct answer is: x = 4 or x equals 4.