the work of a student to find the dimensions of a rectangle of area 6 + 8x and with 2 is shown below:

Step 1 6 + 8x
Step 2 2(4) + 2(6x)
Step 3 2(4+6x)
Step 4 Dimensions of the rectangle are 2 and 4 + 6x

In which step did the student first make an error and and what is the correct step?

with 2

Right there. You mean width.
anyway
2 L = 6 + 8 x
L = 3 + 4 x

siu

all of yall is wrong and its C.

The student made an error in Step 4. The correct step should be:

Step 4: Dimensions of the rectangle are 4 + 6x and 2

The error occurred because the student mistakenly switched the dimensions of the rectangle. The correct dimensions are the length (4 + 6x) and the width (2), not the other way around.