Solve |4 - 2x| = |3x + 2|.

x=2/5, x=-6

Step-by-step explanation:

|4 - 2x| = |3x + 2| =

4-2x=3x+2

-2x-3x=2-4

-5x=-2

x=-2/-5=2/5 possibility 1

-2x+4 = - (3x+2) possibility 2

-2x+4=-3x-2 (Simplify both sides of the equation)

-2x+4+3x=-3x-2+3x

x+4=-2

x+4-4=-2-4 (Subtract 4 from both sides)

x=-6

Check answers:

2/5 (Works in original equation)

x=-6 (Works in original equation)

Step-by-step explanation:4 - 2x=3x + 2

4-2=3x+2x

2=5x

X=2/5