Question

Find the solution set of |2x-3| + 1 = 6. x = 1 or x = -1 x = 5 or x = -2 x = 4 or x = -1 x = 4 or x = -4

Answer 1

|2x-3| + 1 = 6
|2x-3| = 5
2x-3=5 or 2x-3=-5
2x=8 or 2x=-2
x=4 or x=-1
C is the answer. 

Answer 2

2x - 3 + 1 = 6  

2x = 8  
x = 4

Also

|2x - 3| = 5

2x - 3 = -5

2x = -2

x =-1 

solution set is x = 4 or x = -1