#2x - (3/4) + (4/3) = 8 + (4/3)#
#2x - (3/4) cancel(+ (4/3)) = 8 cancel(+ (4/3))#
#2x - (3/4) = 8#
#2x = 8 3/4#
#(color(red)(cancel(color(black)(2)))x)/color(red)(cancel(2)) = (8 3/4)/2#
#x = 35/4 ÷ 2/1#
#x = 35/4 xx 1/2#
#x = 35/8#
#color(blue)(x = 4 3/8#
Now we can plug in this number to prove our answer.
#2 xx 4 3/8 - (3/4) + (4/3) = 8 + (4/3)#
#8 3/4 - (3/4) + (4/3) = 8 + (4/3)#
#8 + (4/3) = 8 + (4/3)#
#8 4/3 = 8 + (4/3)#
#therefore 8 4/3 = 8 4/3#