SOLUTION: Please help me solve this equation:(6x-7)/4+(3x-5)/7=(5x+78)/28

Algebra ->  Equations -> SOLUTION: Please help me solve this equation:(6x-7)/4+(3x-5)/7=(5x+78)/28      Log On


   

Question 674244: Please help me solve this equation:(6x-7)/4+(3x-5)/7=(5x+78)/28
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%286x-7%29%2F4%2B%283x-5%29%2F7=%285x%2B78%29%2F28 |Multiplying thru by 28 so as all denominators = 1

  7(6x-7) + 4(3x-5) = 5x + 78 

  42x - 49 + 12x - 20 = 5x + 78    ||Combining Like Terms

      49x = 147

        x = 3

and

11%2F4+%2B+4%2F7+=+77%2F28+%2B+16%2F28++=+93%2F28