solve for x

Question

18=4+abs(2x) 

Answer 1

18=4+|2x|

 

14 = 2|x|

 

7 = |x|

 

x = ±7

Answer 2

solve for x
18=4+abs(2x)

 

The absolute value of 2x is defined as follows:

 

                ⌈   2x if x≥0    

|2x| = <

                ⌊  -2x if x<0

 

For x≥0, 18=4+2x, 14=2x, x=7

 

For x<0, 18=4-2x, 14=-2x, x=-7

 

x = 7, -7