Solve the following equation for x. 6x - 6 = -42

1 answer

To solve the equation \( 6x - 6 = -42 \), follow these steps:

  1. Add 6 to both sides: \[ 6x - 6 + 6 = -42 + 6 \] This simplifies to: \[ 6x = -36 \]

  2. Divide both sides by 6: \[ x = \frac{-36}{6} \] This simplifies to: \[ x = -6 \]

Thus, the solution is: \[ \boxed{-6} \]