SOLUTION: Solve for x: (x – 5)/3 – 3/2 = (4x + 7)/6

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Question 62324: Solve for x:
(x – 5)/3 – 3/2 = (4x + 7)/6

Answer by 303795(595) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-5%29%2F3-3%2F2+=+%284x+%2B+7%29%2F6
The first step is rewrite the problem with each fraction written over the common denominator which is 6.
2%2A%28x-5%29%2F6-3%2A3%2F6+=+%284x+%2B+7%29%2F6
%282%2Ax-10%29%2F6-9%2F6+=+%284x+%2B+7%29%2F6
%282%2Ax-10-9%29%2F6+=+%284x+%2B+7%29%2F6 Multiply each side by 6 to remove the fraction
2x-19+=+4x+%2B+7Subtract 2x from each side to eliminate the left hand 2x. Subtract 7 from each side to eliminate the right hand 7.
2x-19-2x-7+=+4x+%2B+7+-+2x+-+7
-26+=+2x Divide each side by 2 to get x = -13