Question

|5x + 10| - 15 = 20

x = 9 and x = -9
x = 5 & x = -9
x = 5 & x = -2
x = -1 & x = -3

Answer 1

Solution set is {5, -9}.

Explanation:

|5x + 10| - 15 = 20

|5x + 10| = 20 + 15

|5x + 10| = 35

so we have 2 equations:-

5x + 10 = 35

5x = 25

x = 5

AND

5x + 10 = -35

5x =-45

x = -9

Answer 2

First, let's isolate the absolute value:

|5x + 10| = 35

Now open up the absolute values:

5x + 10 = 35

5x + 10 = -35

______________

5x = 25

5x = -45

_______________

x = 5

x = -9

Option B. is the answer