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X/5+3X-1/2=6X+5/4

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2 Answers

  x         3x – 1         6x + 5
——  +  ————  =  ————
  5           2                 4

The least common denominator LCD(5, 2, 4) = 20, then let's multiply each term of equation by 20

  4       x      10      3x – 1          6x + 5
 20 • —— + 20 • ———— = 20 • ————
          5                2                    4 
             1                      1                           1 

  4x + 10(3x – 1) = 5(6x + 5)
  4x + 30x – 10 = 30x + 25
  4x + 30x – 30x = 10 + 25
  4x = 35
              3
  x = 8 —— = 8.75
             4

x/5+3x-1/2=6x+5/4

-3x               -3x

x/5-1/2=3x+5/4

-x/5             -x/5

-1/2=3x*(5/5)-x/5+5/4

-1/2=15x/5-x/5+5/4

-1/2=14x/5+5/4

-5/4            -5/4

-1/2*(2/2)-5/4=14x/5

-2/4-5/4=14x/5

-7/4=14x/5

*5      *5

-35/4=14x

/14      /14

-35/56=x