Solve the expression:
$x-\frac{1}{2}-x-\frac{2}{3} = x-\frac{4}{7}$

Given:

$x-\frac{1}{2}-x-\frac{2}{3} = x-\frac{4}{7}$

To do: Solve the given expression

Solution:

$x-\frac{1}{2}-x-\frac{2}{3} = x-\frac{4}{7}$

=$ \frac{ -1}{2} -\frac{2}{3} = x -\frac{ 4}{7}$

$x=\frac{4}{7}-\frac{1}{2}-\frac{2}{3}=\frac{24}{42}-\frac{21}{42} -\frac{28}{42}$

$ x = \frac{24-21-28}{42}$

$x= \frac{-25}{42}$

$x = \frac{-25}{42}$  

Therefore, the value of the given expression is $x = \frac{-25}{42}$