How do you solve #2x - (3/4) + (4/3) = 8 + (4/3)#?

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Answer 1 · 2017-06-14T01:19:50

#x = 4 3/8#

#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#