To solve the equation, we need to isolate the absolute value term and then solve for x.

First, subtract 3 from both sides of the equation:

|2x + 5| = 10

Next, we need to consider both the positive and negative solutions for the absolute value:

2x + 5 = 10 or 2x + 5 = -10

Solving the first equation:
2x + 5 = 10
2x = 5
x = 5/2
x = 2.5

Solving the second equation:
2x + 5 = -10
2x = -15
x = -15/2
x = -7.5

Therefore, the solutions are x = 2.5 and x = -7.5.