First, subtract #color(red)(5)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:
#11 - color(red)(5) > 5 - 3x - color(red)(5)#
#11 - color(red)(5) > 5 - color(red)(5) - 3x#
#6 > 0 - 3x#
#6 > -3x#
Next, we will divide each side of the equation by #color(blue)(-3)# to solve for #x# while keeping the inequality balanced. However, because this is an inequality and we are dividing or multiplying by a negative number we must reverse the inequality:
#6/color(blue)(-3) color(red)(<) (-3x)/color(blue)(-3)#
#-2 color(red)(<) (color(blue)(cancel(color(black)(-3)))x)/cancel(color(blue)(-3))#
#-2 < x#
Now, to solve in terms of #x# we reverse or "flip" the entire inequality:
#x > -2#
