Respuesta :

Answer:

  x = 2

Step-by-step explanation:

One way to do this is to "peel the onion," reversing the operations done to the variable.

  3(x +4) -2 = 16 . . . . given

  3(x +4) = 18 . . . . . add 2

  x +4 = 6 . . . . . . . divide by 3

  x = 2 . . . . . . . . . subtract 4

_____

Additional comment

Another approach, usually recommended, is to simplify the equation by eliminating parentheses and collecting terms as the first step.

  3x +12 -2 = 16

  3x +10 = 16

Then you would solve this 2-step equation by subtracting 10, then dividing by 3.

  3x = 6 . . . . subtract 10

  x = 2 . . . . . divide by 3

You may have noticed that it is 3 steps either way.