Solve for x

Question

. 

−4(2x−11)=12

(1 point)
Responses

x=2
x equals 2

x=−4
x equals negative 4

x=−2
x equals negative 2

x=4

Answer 1

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

1. Distribute \(-4\) to both terms inside the parentheses: \[ -4 \cdot 2x + 4 \cdot 11 = 12 \] This simplifies to: \[ -8x + 44 = 12 \]

2. Next, isolate the term with \(x\) by subtracting \(44\) from both sides: \[ -8x = 12 - 44 \] \[ -8x = -32 \]

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

So, the solution is \(x = 4\).

Hence, the correct response is: x = 4.