Question

2|x-6|+14=38 step by step please

Answer 1

ok step by step

Answer 2

you have to get the absolute value by itself first
first step therefore is to subtract \(14\) from both sides
what do you get?

Answer 3

you get 2|x-6|=24

Answer 4

yes you do
next step in getting the absolute value by itself is to divide both sides by 2
now what is it?

Answer 5

you get x-6=12

Answer 6

actually you should still have an absolute value there on the left

Answer 7

?

Answer 8

you started with \[2|x-6|=24\] right?

Answer 9

yes

Answer 10

if you divide by 2, the absolute value sign does not go away, it should still be there

Answer 11

|x-6|=12

Answer 12

that's better

Answer 13

because the second to last step is to get rid of the absolute value sign
there are two numbers whose absolute value is 12
in is 12
the other is -12
so you have to solve two equalities and get two answers
one is to solve \[x-6=12\] and the other is to solve \[x-6=-12\]

Answer 14

so would i divide

Answer 15

no you would add 6 to both sides

Answer 16

oh ok

Answer 17

X-12=18

Answer 18

X-12= 16

Answer 19

one answer is \(12+6=18\) yes

Answer 20

i mean x-12= -6

Answer 21

the other is \(x=-6\) right

Answer 22

can you help me on one more problem

Answer 23

sure

Answer 24

its |x|-8=-5

Answer 25

@satellite73