Question

What is the solution set for |–2x + 8| = 12

Answer 1

CaseI

-2x + 8 = 12

-2x = 4

x = -2


Case II

- (-2x+8) = 12

-2x + 8 = -12

-2x = -20

x=10

Answer 2

\[- 2x + 8 = \pm 12\]

Now, we take \[-2x + 8 = + 12\]

We get x = -4

When we take \[- 2x + 8 = -12\]

We get x = 10.
Hence the answer is x = -4 or x= 10.