Look at the work shown below to solve 4x + 9 = -23.

Question

If the work shown is correct = TRUE
If the work shown is incorrect = FALSE
4х + 9 = -23
4х + 9-9 =-23-9
4х =
-32
4x
-32
-4
-4
x = 8
• True
False

Answer 1

The work shown is incorrect.

Here is the correct solution to the equation \( 4x + 9 = -23 \):

1. Start with the original equation: \[ 4x + 9 = -23 \]

2. Subtract 9 from both sides: \[ 4x = -23 - 9 \] \[ 4x = -32 \]

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

The final value of \( x \) is \(-8\), not \(8\). Therefore, the answer to whether the work shown is correct is FALSE.