What is the solution for this equation?

|2x - 3| = 5

|2x - 3| = 5

Absolute value means the distance away from zero. Since (2x - 3) is 5 away from zero, then the value of (2x - 3) could be 5 or -5.

|2x - 3| = 5

2x - 3 = 5 or 2x - 3 = -5 {set (2x - 3) equal to 5 and -5}

2x = 8 or 2x = -2 {added 3 to each side of both equations}

|2x - 3| = 5

2x - 3 = 5 or 2x - 3 = -5 {set (2x - 3) equal to 5 and -5}

2x = 8 or 2x = -2 {added 3 to each side of both equations}

**x = 4 or x = -1**{divided each side of both equations by 2}*- Algebra House*