Algebra-1

To solve the equation |5x + 8| = 23, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 5x + 8 is positive

If 5x + 8 is positive, then the equation becomes 5x + 8 = 23.

Solve for x:

5x + 8 = 23

5x + 8 - 8 = 23 - 8

5x = 15

5x/5 = 15/5

x = 3

Case 2: ...