How do you do this equation: 9|5x+8|=54

Answer (2 answers):

x = -2/5,  x = -14/5

Step-by-step explanation:

First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.

9|5x+8|=54

|5x+8| = 54/9

|5x+8| = 6

Remember how absolute values turn everything positive? For example

|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.

|5x+8| = 6     and     |-(5x+8)| = 6

now solve the first equation.

(Just remove the absolute value sign and solve it normally)

5x+8 = 6

5x = -2

x = -2/5

Now solve the other equation

-(5x+8) = 6

-5x - 8 = 6

-5x = 14

x = -14/5