Solve the following equation for x: 4x-9=-49

1 answer

To solve the equation \( 4x - 9 = -49 \), follow these steps:

  1. Add 9 to both sides of the equation:

    \[ 4x - 9 + 9 = -49 + 9 \]

    This simplifies to:

    \[ 4x = -40 \]

  2. Next, divide both sides by 4 to isolate \( x \):

    \[ x = \frac{-40}{4} \]

    This simplifies to:

    \[ x = -10 \]

Thus, the solution is \( \boxed{-10} \).