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Solve the equation for m

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2 Answers

1) make sure the fraction has like denominators so the quick way is to use common denominator  7*4 = 28
 
(7m-63)/28   -  (16m-56)/28    = 2
 
2) combine the top since the denominators are the same
 
(7m - 63 - 16m + 56) / 28 = 2
 
3) add/subtract like factors
 
(-9m -7) /28  = 2 / 1
 
  9m - 7 = 56
 
  9m + 7 = -56
 
  9m = -63
 
  m = -7
 
 
 
( 7m -63) / 28  -  ( 16m -56)/ 28 = 2
 
 
  Simply multiply both sides by 28
 
      7m - 63 - 16m + 56 = 56
          -9m - 63 =0
 
              m = 63/- 9  = -7