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

Answer 1

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

1. Distribute the \(-4\) on the left side: \[ -4 \cdot 2x + -4 \cdot -11 = -8x + 44 \] So, the equation becomes: \[ -8x + 44 = 12 \]

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

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

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

The correct response from your options is:

• x = 4