Question

Solve for x.
-4(2x - 11) = 12
A. x = 2
B. x = 4
C. x = -4
D. x = -2

Answer 1

are you sure this is correct

Answer 2

To solve the equation \(-4(2x - 11) = 12\), we will first distribute the \(-4\) on the left side of the equation.

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

2. Next, we will isolate the term with \(x\) by moving \(44\) to the right side:
\[
-8x = 12 - 44
\]
\[
-8x = -32
\]

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

So, the solution is \(x = 4\), which corresponds to option **B**.

Answer 3

Yes, let's double-check the solution step by step to ensure its correctness:

We started with the equation:
\[
-4(2x - 11) = 12
\]

1. **Distribute** \(-4\) on the left side:
\[
-4 \cdot 2x + -4 \cdot (-11) = 12
\]
This simplifies to:
\[
-8x + 44 = 12
\]

2. **Subtract 44** from both sides to isolate the term involving \(x\):
\[
-8x + 44 - 44 = 12 - 44
\]
This simplifies to:
\[
-8x = -32
\]

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

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

So the answer is correct, and the choice is **B. \(x = 4\)**.