#1." " 5+ x= 1/2-1/3" "larr# find the common denominator
#5+x = (3-2)/6" "larr# make equivalent fractions.
#5 +x = 1/6#
#x = 1/6-5" "larr# each whole is made up of #6/6#
#x =-4 5/6" "larr# take one away. #(-4 6/6+1/6 = -4 5/6)#
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#2. 1/4+x =1/2-1/3#
#x = 1/6 -1/4" "larr# the LCD 12
#x = (2-3)/12#
#x = -1/12#
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3. You can do this one by knowing that:
#1/2 +1/2 =1" and "1/4+1/4 = 1/2#
It should not be necessary to find common denominators.
#color(blue)(1-1/2)+m=3/4color(red)(+1/2)#
#color(blue)(1/2) +m = 3/4color(red)(+1/4+1/4) = 1 1/4#
#m = 1 1/4 -color(blue)(1/2)#
#m = 1 1/4 -color(blue)(1/4-1/4)#
#m =3/4#