179k views
1 vote
SOMEBODY HELP ME NO LINKS PLZ

what is the correct solution to equation 3(x+4)-2=16? show your work

User Drublic
by
7.9k points

1 Answer

0 votes

Answer:

x = 2

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.

User Kbgn
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories