Verified answer

|4x – 8| = 9x + 2

First case:

4x – 8 = 9x + 2

–10 = 5x

x = –2

Second case:

–(4x – 8) = 9x + 2

–4x + 8 = 9x + 2

6 = 13x

x = 6/13

It's been a LONG time since I've had to do this, so I may be wrong. Here's what I see, though:

Leave the |4x-8| alone for the time being. Add 3x to both sides of the = sign. This will give you |4x - 8| = 9x + 2

Maybe then you start messing with the |4x-8| by subtracting that 2 from both sides and subtracting that 4x from both sides: -10 = 5x

Divide both sides by 5, and that leaves you with x = -2.

Does that look right?

2 case

1.if (4x-8)> or =0 <=> x> or = 2 we will have :(4x-8) =9x+2 => x =-2

2.if (4x-8)<0 <=> x< 2 we will have -4x+8 =9x+2 => x=6\13

so x =6\13 is right..ok? hope you unsdertand what i mean.

4x 8

Mike is right!!!