SOLUTION: I am trying to find the correct process to work this problem out. One that shows step by step and how each step was retrieved. 6x -1 / 5 - 2x/3 = 3 / means

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Question 69979: I am trying to find the correct process to work this problem out. One that shows step by step and how each step was retrieved.
6x -1 / 5 - 2x/3 = 3
/ means divide.
Thanks
Kathy


Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
6x+-1%2F5+-+%282%2F3%29x+=+3Start with given equation
6x+cross%28-1%2F5%2B1%2F5%29+-+%282%2F3%29x+=+3%2B1%2F5add 1/5 to each side to cancel out -1/5
6x%2A%283%2F3%29+-+%282%2F3%29x+=+3%2A%285%2F5%29%2B1%2F5Add fractions by finding common denominator
%2818%2F3%29x-+%282%2F3%29x+=+15%2F5%2B1%2F5Add
%2816%2F3%29x+=+16%2F5Multiply both sides by (3/16) to cancel out (16/3) on left side
cross%28%283%2F16%29%2816%2F3%29%29x+=+%283%2F16%29%2816%2F5%29
x=%283%2Fcross%2816%29%29%28cross%2816%29%2F5%29The 16's cancel top and bottom leaving
x=3%2F5