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=4
x equals 4

x=2

Answer 1

Let's solve the equation step by step:

Given:

\[ -4(2x - 11) = 12 \]

1. Distribute -4:

\[ -4 \cdot 2x + (-4) \cdot (-11) = 12 \]

This simplifies to:

\[ -8x + 44 = 12 \]

2. Next, isolate the variable term by subtracting 44 from both sides:

\[ -8x + 44 - 44 = 12 - 44 \]

This simplifies to:

\[ -8x = -32 \]

3. Now, divide both sides by -8 to solve for \(x\):

\[ x = \frac{-32}{-8} \]

This simplifies to:

\[ x = 4 \]

So the solution is:

\[ x = 4 \]

The correct response is:

x=4