Question 275281
3|-8x-9|=117

We have two cases.  First when -8x-9 >= 0 the equation above becomes:

3*(-8x-9) = 117
-24x - 27 = 117
-24x = 90
x = -90/24 = -15/4 when

-8x - 9 >= 0
8x <= -9
x <= -9/8 

In the second case when -8x-9 < 0 the original equation becomes:

3*-(-8x-9) = 117
3*(8x+9) = 117
24x + 27 = 117
24x = 90
x = 90/24 = 15/4 when

-8x-9 < 0
-8x < 9
x > 9/-8 
x > -9/8 

The solution set is {15/4, -15/4}