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