Sure! To solve the equation |2x-5| + 3 = 8, we need to isolate the absolute value term first.

Subtract 3 from both sides:

|2x-5| = 5

Now, we have two possible equations inside the absolute value:

2x-5 = 5 or 2x-5 = -5

Solve each equation separately:

1) 2x-5 = 5
Add 5 to both sides:
2x = 10
Divide by 2:
x = 5

2) 2x-5 = -5
Add 5 to both sides:
2x = 0
Divide by 2:
x = 0

So, the solutions to the equation |2x-5| + 3 = 8 are x = 5 and x = 0.