1) Considering the Absolute Value equation |2x-3| =23
Let's solve it
|2x-3| =23 Apply the absolute value property
2x -3 =-23 Add 3 to both sides
2x = - 23 +3
2x = -20 Divide both sides by 2
x = -10
|2x-3| =23 Apply the absolute value property
2x -3 = 23 Add 3 to both sides
2x = 26
x = 13