Question

3|x + 3| = 12

A. x = 1
B. x = 1 or x = -4
C. x = 1 or x = -7
D. no solution exist

Answer 1

The Answer to your Question is X=-7 or x=1 because those are the two solutions

Answer 2

Since 3 | 1+3 | = 3 |4|

= 3·4

= 12

and

since 3 | -7+3 | = 3 |-4|

= 3·4

= 12,

both 1 and -7 check as solutions,

so C: x = 1 or x = -7