Solve and show all work |2*+3| - 6=11

x = - 10; x = 7

Step-by-step explanation:

|2x + 3| - 6 = 11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = - a.

(1) 2x + 3 = 17 (2) 2x + 3 = - 17

Subtract 3 from each side

2x = 14 2x = - 20

Divide each side by 2

x = 7 x = - 10

Check:

(1) |2 (7) + 3| - 6 = 11 (2) |2 (-10) + 3| - 6 = 11

|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

|17| - 6 = 11 |-17| - 6 = 1 1

17 - 6 = 11 17 - 6 = 11

11 = 11 11 = 11