Solve using inverse operations. Use the sketch pad to show your work. If you prefer to show your work on paper, you can upload it at the end. You must show work

Question

4(x-4)= x -13

Answer 1

To solve the equation \(4(x - 4) = x - 13\) using inverse operations, follow these steps:

1. Distribute the 4 on the left side: \[ 4x - 16 = x - 13 \]

2. Isolate the variable terms on one side: Subtract \(x\) from both sides. \[ 4x - x - 16 = -13 \] This simplifies to: \[ 3x - 16 = -13 \]

3. Isolate the constant: Add 16 to both sides. \[ 3x - 16 + 16 = -13 + 16 \] This simplifies to: \[ 3x = 3 \]

4. Solve for \(x\): Divide both sides by 3. \[ x = \frac{3}{3} \] Thus: \[ x = 1 \]

Conclusion

The solution to the equation \(4(x - 4) = x - 13\) is \(x = 1\).

If you need to visualize this using sketch pad or paper, you can organize your work in a similar structured format as shown above, or use graphical representations to depict the operations performed. If you would like to upload or share your sketch, please do so.