Solve Multi-Step Linear Equations Quick Check

Question

1 of 51 of 5 Items
Question
Solve for x . 

−4(2x−11)=12

(1 point)
Responses

x=−2
x equals negative 2

x=−4
x equals negative 4

x=2
x equals 2

x=4

Answer 1

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

1. Distribute the -4: \[ -4 \cdot 2x + 4 \cdot 11 = 12 \] \[ -8x + 44 = 12 \]

2. Subtract 44 from both sides: \[ -8x + 44 - 44 = 12 - 44 \] \[ -8x = -32 \]

3. Divide by -8: \[ x = \frac{-32}{-8} \] \[ x = 4 \]

The solution is \(x = 4\).

So, the correct response is: x = 4.