The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:
step 1: 3(4x − 2) = 9 + 2x + 5
step 2: 12x − 2 = 14 + 2x
step 3: 12x − 2x = 14 + 2
step 4: 10x = 16
step 5: x = 1.6
in which step did the student first make an error and what is the correct step?
a.) step 2: 12x − 2 = 4 + 2x
b.) step 2: 12x − 6 = 14 + 2x
c.) step 3: 12x + 2x = 14 + 2
d.) step 3: 12x − 2x = 14 − 2