Solve the equation check for extraneous solution 6|6-4 x|=8 x+4answers are x=1, x=5/2.or x=2, x=5/2, x=5/2or x=1

1 answer

6|6-4x| = 8 x + 4

+ sign
6 (6x-4) = 8 x+4
36 x - 24 = 8 x + 4

28 x = 28

x = 1
negative sign
6(4x-6) = 8 x + 4
24x - 36 = 8 x + 4
16 x = -40
x = 5/2
so
5/2 or 1