Question

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

Answer 1

Answer:

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

4-2=3x+2x

2=5x

X=2/5

Answer 2

Answer:

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)