Subtract 1 from both sides to get 2|x-3| = 6
Divide both sides by 2 to get |x-3| = 3
Since there is an absolute value, the answer is either x - 3 = 3 or x - 3 = -3. Try each to find the answer.
x - 3 = 3 → add 3 to both side to get x = 6
x - 3 = -3 → add 3 to both sides to get x = 0
Therefore the answer is A
