Question

Solve for x. |2x + 2| = 14

Solve for x. |2x + 6| - 4 = 20

Answer 1

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

Answer 2

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.

Answer 3

|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

Answer 4

how do i do that?

Answer 5

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?

Answer 6

minus 2 on both sides

Answer 7

yes this gives

2x=12

now you want x on it's own
you have 2x so what do you do to get x

Answer 8

divide by 2

Answer 9

and what do you get?

Answer 10

6

Answer 11

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?

Answer 12

i got -8

Answer 13

well done so your answer is
x=6
or
x=-8

Answer 14

thanks