SOLUTION: Please help me solve: 3x-2 over 4x = 3 over x + 1 over 2

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Question 70988: Please help me solve: 3x-2 over 4x = 3 over x + 1 over 2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I hope I've got this right!
%283x-2%29%2F4x+=+3%2Fx+%2B+1%2F2 Is this it? If so, let's proceed. Add the fractions on the right side.
%283x-2%29%2F4x+=+12%2F4x+%2B+2x%2F4x Simplify.
%283x-2%29%2F4x+=+%2812%2B2x%29%2F4x so:
3x-2+=+12%2B2x Subtract 2x from both sides.
x-2+=+12 Add 2 to both sides.
x+=+14
Check: Substitute x = 14
%283%2814%29-2%29%2F4%2814%29+=+3%2F14+%2B+1%2F2 Simplify.
%2842-2%29%2F56+=+3%2F14+%2B+7%2F14
40%2F56+=+10%2F14 Convert to equivalent fractions. Divide the top & bottom of the left side by 4.
10%2F14+=+10%2F14