What is the solution to –4|–2x + 6| = –24?
x = 0
x = 0 or x = –6
x = 0 or x = 6
no solution

x=0 or x=6

Step-by-step explanation:

–4|–2x + 6| = –24  

First of all divide both sides by -4

-4|–2x + 6|/-4 = -24/-4

|–2x + 6|= 6

-2x+6= -6

Combine the like terms:

-2x=-6-6

-2x = -12

Divide both sides by -2

-2x/-2= -12/-2

x=6

Now,

-2x+6= 6

Combine the like terms:

-2x=6-6

-2x=0

Divide both sides by -2

x=0

So, there are two roots of the equation x=0 and x=6

x = 0 or x = 6

Step-by-step explanation:

–4|–2x + 6| = –24

Divide each side by -4

–4/-4|–2x + 6| = –24/-4

|–2x + 6| = 6

To get rid of the absolute value, we get two equations, one positive and one negative

-2x +6 =6      or   -2x+6 = -6

Subtract 6 from each side

-2x +6-6 =6-6     or -2x+6-6 = -6-6

-2x = 0                    or           -2x = -12

Divide each side by -2

-2x/-2 = 0/-2              or          -2x/-2 = -12/-2

x=0                  or                      x=6