Question 29747
{{{ (x/7) - (1/2) = x - (11/2) }}}
First you must get all the denominators to be the same.  In this case 14.
multiply each fraction by (2/2)  (7/7) (14/14)and (7/7) respectively
{{{ (x/7)(2/2) - (1/2)(7/7) = (x/1)(14/14) - (11/2)(7/7) }}}
{{{ (2x/14) - (7/14) = (14x/14) - (77/14) }}}
since this is an equation, and all denoms are all the same, we can drop them
{{{ 2x - 7 = 14x - 77 }}} subt 2x and add 77 to both sides
{{{ 2x - 7 - 2x + 77 = 14x - 77 - 2x + 77 }}} 
{{{ - 7 + 77 = 14x - 2x  }}} combine like terms
{{{ 70 = 12x }}} divide by 12 and reduce
{{{ 70/12 = 12x/12 }}}
{{{ 70/12 = x }}}
{{{ 35/6 = x }}}