x = -9 or x=12
1) Solving this absolute value equation requires knowing the properties
|a| =b, and |a| = -b
2)
|2x -3|-4 = 17 Adding 4 to both sides
|2x -3| = 21 Applying the property to remove the bars
2x -3 = 21
2x =24
x=12
|2x -3| = 21 Applying the property to remove the bars
2x -3 = -21 Adding 3 to both sides
2x = -21+3
2x= -18 Dividing both sides by 2
x=-9
3) So the solution is x=12 or x = -9