Question 708722
FOUR conditions to check for this equation.


Both expression negative:
{{{2-x+3-x=7}}}  (Do you notice I took the OPPOSITE both expressions there?)
{{{-2x+5=7}}}
.
{{{x=-1}}}


The Condition that {{{x-2<0}}} and {{{x-3>=0}}}:
{{{2-x+x-3=7}}}
{{{2-3=7}}}
FALSE STATEMENT.


The condition that {{{x-2>=0}}} and {{{x-3<0}}}:
{{{x-2+3-x=7}}}
{{{-2+3=7}}}
FALSE STATEMENT.


Both expressions positive:
{{{x-2+x-3=7}}}
{{{2x-5=7}}}
{{{x=6}}}


The occurrance of the false statements is the result of those sets of conditions not being possible
Solution:  x=-1 OR x=6