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please help!:


Solve for x: 3|x − 3| + 2 = 14


Select one:
a. No solutions
b. x = −1, x = 8.3
c. x = 0, x = 7
d. x = −1, x = 7

Respuesta :

Answer:

D:  x = -1, x = 7

Step-by-step explanation:

First isolate the |x - 3| term...

3|x - 3| + 2 = 14

  3|x - 3| = 12         (subtract 2 from both sides)

    |x - 3| = 4         (divide by 3 on both sides)

So  

x - 3 = 4           so x = 7     (add 3 to both sides)

and

x - 3 = -4           so x = -1    (add 3 to both sides)

***Two equations are set up because of the absolute value equation, |-4| = 4, so we use -4 as the second equation

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