What is the value of x?

6(−3−x)−2x=14

Enter your answer in the box.

1 answer

To solve the equation \( 6(-3 - x) - 2x = 14 \), follow these steps:

  1. Distribute the 6: \[ 6 \cdot -3 + 6 \cdot -x - 2x = 14 \] This simplifies to: \[ -18 - 6x - 2x = 14 \]

  2. Combine like terms: \[ -18 - 8x = 14 \]

  3. Add 18 to both sides: \[ -8x = 14 + 18 \] This simplifies to: \[ -8x = 32 \]

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

Thus, the value of \( x \) is \(\boxed{-4}\).