Question

How do you solve `|4x + 2| = 10`?

Answer 1

`x= -3" or "+2`

Explanation:

The use of 'absolute' ( the two vertical lines ) means that even if `4x+2` has the value of -10 then the answer to `"absolute"(4x+2)` is always +10

So `color(red)(|color(white)(2/2))+-(4x+2)color(white)(..)color(red)(|color(white)(2/2)) = +10`

Suppose `4x+2` has the same value as -10 then `x=-3`
So we have: `|4(-3)+2|" "=" "|-12+2|" "=" "|-10|" " =" " +10`

Suppose `4x+2` has the same value as +10 then `x=+2`
So we have: `|4(2)+2|=|8+2|=|10|=+10`