|7x − 3| = 4
$7x_1 - 3 = 4$
$7x_1 = 4 + 3$
$7x_1 = 7$
$x_1 = 7 : 7$
$x_1 = 1$;
$7x_2 - 3 = -4$
$7x_2 = -4 + 3$
$7x_2 = -1$
$x_2 = -\frac{1}{7}$.

||x| − 10| = 8
$|x| - 10 = 8$
$|x| = 8 + 10$
$|x| = 18$
$x_1 = 18$
$x_2 = -18$;
$|x| - 10 = -8$
$|x| = -8 + 10$
$|x| = 2$
$x_3 = 2$
$x_4 = -2$.

4(x − 2) + 5|x| = 10
4x − 8 + 5x = 10
4x + 5x = 10 + 8
9x = 18
x = 18 : 9
$x_1 = 2$;
4x − 8 − 5x = 10
4x − 5x = 10 + 8
−x = 18
$x_2 = -18$.

|x| = 3x − 8
x = 3x − 8
x − 3x = −8
−2x = −8
x = −8 : −2
$x_1 = 4$;
−x = 3x − 8
−x − 3x = −8
−4x = −8
x = −8 : −4
$x_2 = 2$.