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

1 answer

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

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

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

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

Thus, the solution is \(x = 4\).