Question 747325
First of all  clear the brackets
6 + (x - 5)/2 => 6 + x -5/2 => x + 1/2
So the equation becomes:-
x + 1/2 = x - 7/3
To remove the lower numbers(2 and 3)
you find one number that both 2 and 3
will divide into. This is 6

  2 divides into 6 then 3 goes up to
multiply x + 1 = 3x + 3
  3 divides into 6 then 2 goes up to
multiply x - 7 = 2x - 14.

Now as both equations have the same denominator (6)
so we can equal one to the other.

    3x + 3 = 2x - 14
 Sort out like terms
    3x - 2x = - 14 - 3
          x = - 17

To check put x = -17 into:-

    x + 1/2 => -17 + 1/2 = -8
    x - 7/3 => -17 - 7/3 = -8   Both agree