Question

| 4 - 2x | = 14
can you explain how to do this?

Answer 1

yes. you want to get rid of the absolute values signs so you can solve a linear equation. the way you do that is to write
\[4-2x=14\] OR
\[4-2x=-14\] since the absolute value of both 14 and -14 is 14

Answer 2

then you solve the two linear equations separately and get two possible answers

Answer 3

if you are like me and would prefer to see
\[2x-4=14\] and
\[2x-4=-14\] you can do that as well. with a little experience you will see that
\[|a-b|=|b-a|\] so you are permitted to change
\[|4-2x|=|2x-4|\]of course it makes no difference either way will work

Answer 4

ok I think I get it

Answer 5

x = 3.5, -7?

Answer 6

do just what they told you to do. and uyoull get it right every time.