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

Answer 1

To solve the equation \(-4(2x - 11) = 12\), we can start by distributing \(-4\) on the left side:

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

This simplifies to:

\[ -8x + 44 = 12 \]

Next, we subtract 44 from both sides:

\[ -8x = 12 - 44 \]

\[ -8x = -32 \]

Now, divide both sides by \(-8\):

\[ x = \frac{-32}{-8} = 4 \]

Thus, the solution is:

\[ x = 4 \]

The correct response is: x=4 or x equals 4.