Question

Solve the absolute value equation
| 7x+4 |+4= 13

Answer 1

HI,
x=5/7 or x=-13/7

Explanation:

|7x+4|+4=13

|7x+4|=9

if 7x+4 ≥0 : (or x≥ -4/7)

|7x+4|=7x+4

7x+4=9

7x=5

x=5/7

if 7x+4 <0: (or x<-4/7)

|7x+4|=-(7x+4)

-(7x+4)=9

-7x-4=9

7x=-13

x=-13/7