Solve the equation check for extraneous solutions

Question

6/6-4x/=8x+4 I used/ / for the brackets
posssible answers
x=1
x=5/2 or x=2
x=5/2
x=5/2 or x=1
Not looking for just the answer, would like to know how to get it.

Answer 1

6(6-4x) = 8x+4
36 - 24x = 8x+4
32 = 32x
x = 1

Answer 2

or, if as in your later post, we have

6|6-4x| = 8x+4, then
if 6-4x >= 0, x=1 as above

else, if 6-4x < 0, we have
-6(6-4x) = 8x+4
-36 + 24x = 8x + 4
16x = 40
x = 5/2

so, x = 1 or 5/2

Answer 3

Thank you Steve