#-2/3x - 4 < -8x - 2#
First, add #4# to both sides of the inequality:
#-2/3x - 4 quadcolor(red)(+quad4) < -8x - 2 quadcolor(red)(+quad4)#
#-2/3x < -8x + 2#
Add #8x# to both sides of the inequality:
#-2/3x quadcolor(red)(+quad8x) < -8x + 2 quadcolor(red)(+quad8x)#
#7 1/3x < 2#
#22/3x < 2#
Multiply both sides by #3#:
#22/3x color(red)(*quad3) < 2 color(red)(*quad3)#
#22/cancel(3)x cancel(color(red)(*quad3)) < 6#
#22x < 6#
#x < 6/22#
Divide numerator and denominator by #2#:
#x < 6/22 color(red)(-: 2/2)#
#x < 3/11#
Hope this helps!
