Question 1007423
Proper notation is important.  ASSUMING you have (6w-5)/(w-4)=24/(w-4), which is no what you wrote,
solution steps can be
{{{(6w-5)/(w-4)=24/(w-4)}}}
{{{(6w-5)(w-4)=24(w-4)}}}
{{{6w-5=24}}}
{{{6w=24+5}}}
{{{6w=29}}}
{{{highlight(w=29/6)}}}



If you really have 6w-5/(w-4)=24/(w-4) which would appear {{{6w-5/(w-4)=24/(w-4)}}},
the steps would go somewhat differently and solution will be different, too.  Solution
would be for this,  {{{w=0+- sqrt(53/6)}}} and most likely not what you have for your
given equation.