Question

Solve for x: 2|x − 3| + 1 = 7



A.) x = 0, x = 6

B.) x = −1, x = 6

C.) x = 0, x = 9

D.) No solutions

Answer 1

Subtract 1 from both sides, then divide both sides by 2, you get
/x-3/=3
so x- 3 = 3 and x- 3 = -3,

therefore, x = 6 and x = 0

Answer 2

There are two cases for which equation can be written and solved
Case1: when x-3>0 .........|x-3| = x-3
and Case2: when x-3<0.......|x-3|= -(x-3)