Question

solve for x. |3x-2| = |2x+5|+1

okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)

Answer 1

i think that be wrong the real answer have to be -4/5 and 8 i just not know how to get thats.

Answer 2

if 3x-2 > 0 then |3x-2| = 3x-2
if 2x+5 > 0 then |2x+5| = 2x+5
in this case,
3x-2 = 2x+5 + 1
x = 8
since 8 satisfies the conditions, it is a solution

if 3x-2 < 0 then |3x-2| = -(3x-2)
if 2x+5 > 0 then |2x+5| = 2x+5
in this case,
-(3x-2) = 2x+5 + 1
x = -4/5
since -4/5 satisfies the conditions, it is a solution

If you work through the other two choices, you will either find no more solutions, or duplicates of these.