SOLUTION: Please help me solve this problem. 3/4(3x -1/2) -2/3 < 1/3 I went over the examples again and again and I don't understand why you would not find the common denominator of all fr

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Question 146051This question is from textbook Elementary Algebra Concepts and Applications
: Please help me solve this problem. 3/4(3x -1/2) -2/3 < 1/3
I went over the examples again and again and I don't understand why you would not find the common denominator of all fractions and multiply. I am totally lost with this one. Thanks for the help!
This question is from textbook Elementary Algebra Concepts and Applications

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%283%2F4%29%283x-1%2F2%29-2%2F3+%3C+1%2F3 Expand the left side. (Distributive property).
%289x%2F4%29-3%2F8-2%2F3+%3C+1%2F3 Multiply through by 24 (LCD) to clear thr fractions.
%2824%2A9x%2F4%29+-+24%2A3%2F8+-+24%2A2%2F3+%3C+24%2F3 Simplify.
%2854x-9-16%29+%3C+8
54x-25+%3C+8 Add 25 to both sides.
54x+%3C+33 Divide both sides by 54.
x+%3C+11%2F18