Verified answer

x=3 & x= 1/3

When you have an absolute power problem you need to split it into to equations:

2 l3x-5l =8 & 2 l3x-5l = -8 then solve each equation as follows:

1) divide both sides by the 2 which gives you { 3x-5 = 4 } then you need to get the term with the x by itself by adding 5 to both sides which gives you { 3x = 9} then you need to solve for x so you divide both sides by 3 which gives you {x = 3}

2) divide both sides by the 2 which gives you { 3x-5 = -4 } then you need to get the term with the x by itself by adding 5 to both sides which gives you { 3x = 1} then you need to solve for x so you divide both sides by 3 which gives you {x = 1/3}

x = 3

x= 3 or 1/3

2 |3x – 5| = 8.

|3x – 5| = 4.

This equality can result from one of two possibilities :3x -5 = 4 or 3x -5 = - 4.

The respective solutions are x = 3, x = 1/3.

2|3x-5| = 8

|3x-5| = 4

-4 < 3x-5< 4

1 < 3x < 9

1/3 < x < 3

so your answer is the second option

x = 3

===High Harry is right, monu has the proof.. actually, as i remember my math, the < signs make monu wrong... as this equation is = |x| the proof in this would be to set the value of x = 1 . the equation would work to 4 = 8.

===nyc_kid has the right proof.. fyi, i didnt change my answer because I had assumed you were using | in place of ().. my mistake.

http://www.wolframalpha.com/input/?i=2+|3x+%E2%80%...