If she was going to divide by 3 to eliminate the x term's coefficient, she needed to divide all other terms by 3 and she did not. She only divided two of the three terms by 3 and left out the 6.
3x + 6 = 24 divide all terms by 3
3x/3 + 6/3= 24/3
x + 2= 8 subtract both sides by 2
x= 6
CHECK: 3x + 6 = 24 3(6) + 6= 24 18 + 6= 24 24= 24
ANSWER: She did not divide all terms by 3 when eliminating the x term's coefficient. x= 6