Question 56298
{{{ (x-2) / (2-x) }}}
factor out a -1 on the denominator 
{{{ (x-2) / -1(-2+x) }}}
rearrange the values in the quantity in the denominator
{{{ (x-2) / -1(x-2) }}}
Cancel like terms
{{{ 1/-1 }}}
{{{ -1 }}}