Question

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Answer 1

Divide both sides by 6 first to isolate the absolute value

Answer 2

Then after, extract the expression inside the absolute value by giving 2 possible values of it - a positive value and a negative one.

Answer 3

so, your equations now will be

Answer 4

6-4x = (8x+4)/6 and -(6-4x) = (8x + 4)/6

Answer 5

Then from there, you can now solve the values of x

Answer 6

The reasoning for this is because you'll get the same absolute value whether the expression inside is positive or negative, so you have to consider both possibilities.
(Also a good idea to check both solutions in the original equation to make sure they both work.)