Question

This one is hard.

5 - |3-2x|/3 = 4

How do I begin to do this?

-|3-2x|/3 = -1

-|9-6x| = -3 or -|9-6x} = 3

????

Answer 1

from -|3-2x|/3 = -1
|3-2x|/3 = 1
|3-2x| = 3
now 3-2x = 3 OR -3+2x = 3
-2x = 0 or 2x = 6
x = 0 or x = 3

sub back in to see if they work, they both do.

Answer 2

Continuing from -|3-2x|/3 = -1
-(1/3)*|3-2x| = -1

Multiply both sides by -3
|3-2x| = 3