Question 545461
{{{ (x - 3)*(x + 2) = x + 2}}}
I see that {{{ x + 2 }}} appears on both sides
so, divide bith sides by {{{ x + 2 }}}
{{{ ( x - 3 )*( x + 2 )/ ( x + 2 )  = (x + 2) / ( x + 2 ) }}}
{{{ x - 3 = 1 }}}
{{{ x = 4 }}}
check answer:
{{{ (x - 3)*(x + 2) = x + 2}}}
{{{ (4 - 3)*(4 + 2) = 4 + 2}}}
{{{ 1*6 = 6 }}}
{{{ 6 = 6 }}}
OK