To solve the equation \(-4(2x - 11) = 12\), we can follow these steps: 1. Distribute \(-4\) on the left side: \[ -4 \cdot 2x + -4 \cdot (-11) = -8x + 44 \] Hence, the equation becomes: \[ -8x + 44 = 12 \] 2. Subtract 44 from both sides: \[ -8x = 12 - 44 \] This simplifies to: \[ -8x = -32 \] 3. Divide both sides by \(-8\): \[ x = \frac{-32}{-8} \] Simplifying gives: \[ x = 4 \] Thus, the solution is: \[ \boxed{4} \]

−4(2x−11)=12

1 answer

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

Distribute \(-4\) on the left side: \[ -4 \cdot 2x + -4 \cdot (-11) = -8x + 44 \] Hence, the equation becomes: \[ -8x + 44 = 12 \]
Subtract 44 from both sides: \[ -8x = 12 - 44 \] This simplifies to: \[ -8x = -32 \]
Divide both sides by \(-8\): \[ x = \frac{-32}{-8} \] Simplifying gives: \[ x = 4 \]

Thus, the solution is: \[ \boxed{4} \]