SOLUTION: Please help me solve this equation: 14+3x/6 = 9/4

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Question 663995: Please help me solve this equation:
14+3x/6 = 9/4



Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
14+%2B+%283x%2F6%29+=+%289%2F4%29
...
Isolate the x variable
3x%2F6+=+9%2F4+-+14
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Multiply the entire equation by 6

3x = 27%2F2 - 84
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Create common denominator to subtract on the right
3x = 27%2F2+-+84%282%2F2%29
3x = 27%2F2+-+168%2F2+=+-141%2F2
...
Divide both sides by 3
cross%283%29x%2Fcross%283%29+=+%28-141%2F2%29%2F3+=+%28-141%2F2%29%281%2F3%29
highlight%28x+=+%28-141%2F6%29+=+-23%283%2F6%29+=+-23+%281%2F2%29%29
...................
If starting with
%2814-3x%29%2F6+=+9%2F4
...
Multiply the entire equation by 6

14 - 3x = 27%2F2
...
Isolate x
14 -
28%2F2+-+27%2F2+=+3x
1%2F2+=+3x
...
Divide both sides by 3
%281%2F2%29%2F3+=+cross%283%29x%2Fcross%283%29+=+%281%2F2%29%281%2F3%29
highlight%28x+=+1%2F6%29
.....................
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