Question

Solve for . 
(1 point)
x
−4(2x − 11) = 12
x = 2
x = 4
x = −4
x = −2

Answer 1

To solve the equation \( x - 4(2x - 11) = 12 \), let's start by distributing the \(-4\) through the parentheses.

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

2. Combine like terms:
\[
-7x + 44 = 12
\]

3. Subtract 44 from both sides:
\[
-7x = 12 - 44
\]
\[
-7x = -32
\]

4. Divide by -7:
\[
x = \frac{-32}{-7} = \frac{32}{7}
\]

Now, we compare this value to the provided options \( x = 2, x = 4, x = -4, x = -2 \). None of those options match \( \frac{32}{7} \).

Thus, there appears to be a misunderstanding with the options provided, as neither of them is a solution to the equation. If you need further assistance, please clarify if there's a specific condition or modification to be made.