## jennaaanicoleee 3 years ago Solve for x. |2x + 2| = 14 Solve for x. |2x + 6| - 4 = 20

1. frx

Just do it the same way i just told you. When removing the absoulte value you get two cases. 2x+2=14 and 2x+2=-14

2. frx

What you want to do with the second one is to isolate the absolute value. So just add 4 to each side and solve ( |2x+6| = 24 ) it like the first one.

3. amorfide

|2x + 2| = 14 |x| means that it is always going to be a positive outcome next look at 14 you know that |14| = 14 but you also know that |-14| = 14 so you know that inside the || you have |2x+2| you know that you must get 14 or -14 inside the || once you get 14 or -14 you know that both answers will turn out to be 14 so this means you will get 2 values of x so since 2x+2 can be 14 or -14 you can write two equations 2x+2=14 2x+2=-14 now solve for x

4. jennaaanicoleee

how do i do that?

5. amorfide

isolate x you have 2x+2=14 and 2x+2=-14 lets look at 2x+2=14 you want all x terms on one side and all constants on another side so you want to get rid of the +2 on the left side how would you do this?

6. jennaaanicoleee

minus 2 on both sides

7. amorfide

yes this gives 2x=12 now you want x on it's own you have 2x so what do you do to get x

8. jennaaanicoleee

divide by 2

9. amorfide

and what do you get?

10. jennaaanicoleee

6

11. amorfide

yes so your first answer is x=6 now look at 2x+2=-14 what must you do to get rid of the +2 then what must you do to get x what do you get?

12. jennaaanicoleee

i got -8

13. amorfide