SOLUTION: Solve for x: 3/4(5x + 2) = 9 + 5/3x. I multiplied by 12 and got 45x + 18 = 108 + 20 and ended up with 22/9. I cannot get the right answer.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Solve for x: 3/4(5x + 2) = 9 + 5/3x. I multiplied by 12 and got 45x + 18 = 108 + 20 and ended up with 22/9. I cannot get the right answer.      Log On

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Question 665419: Solve for x: 3/4(5x + 2) = 9 + 5/3x.
I multiplied by 12 and got 45x + 18 = 108 + 20 and ended up with 22/9. I cannot get the right answer.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
3%2F4(5x+2) = 9 + 5%2F3x
...
Distribute the 3%2F4
%283%2F4%29%285x%29+%2B+%283%2F4%29%282%29+=+9+%2B+%285x%29%2F3%29
%2815x%29%2F4+%2B+6%2F4+=+9+%2B+%285x%29%2F3
Multiply both sides by 12

45x + 18 = 108 + 20x
Combine like terms
45x - 20x = 108 - 18
25x = 90
x = 90%2F25 = 18%2F5 = 3 3%2F5 = 3.6
....................
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