To solve the equation \(-4(2x - 11) = 12\), follow these steps: 1. Distribute the -4 on the left side: \[ -4 \cdot 2x + -4 \cdot -11 = 12 \implies -8x + 44 = 12 \] 2. Subtract 44 from both sides to isolate the term with \(x\): \[ -8x + 44 - 44 = 12 - 44 \implies -8x = -32 \] 3. Divide both sides by -8 to solve for \(x\): \[ x = \frac{-32}{-8} \implies x = 4 \] So, the solution is \(x = 4\).

-4(2x-11)=12 x=__

1 answer

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

Distribute the -4 on the left side: \[ -4 \cdot 2x + -4 \cdot -11 = 12 \implies -8x + 44 = 12 \]
Subtract 44 from both sides to isolate the term with \(x\): \[ -8x + 44 - 44 = 12 - 44 \implies -8x = -32 \]
Divide both sides by -8 to solve for \(x\): \[ x = \frac{-32}{-8} \implies x = 4 \]

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