Given:
|4x+5|−6=22
Add 6 to both sides of the equation:
|4x+5|−6 + 6 =22 + 6
|4x+5l = 28
Now, for the absolute value consider 2 options:
a) 4x+5 = 28 and b) -(4x+5)= 28
• a)
4x+5 = 28
4x = 28 - 5
4x = 23
x= 23/4
• b)
-(4x+5)=28
-4x - 5 = 28
-4x = 28+5
-4x= 33
x= -33/4
Answer:
x= 23/4
x= -33/4
