[tex] |2x - 1| = | - x - 2| [/tex]
Thus ;
[tex]2x - 1 = - x - 2[/tex]
Add both sides x
[tex]2x + x - 1 = - x + x - 2[/tex]
[tex]3x - 1 = - 2[/tex]
Add both sides 1
[tex]3x - 1 + 1 = - 2 + 1[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]
[tex]x = - \frac{1}{3} \\ [/tex]
Or
[tex]2x - 1 = - ( - x - 2)[/tex]
[tex]2x - 1 = x + 2[/tex]
Subtract both sides x
[tex]2x - x - 1 = x - x + 2[/tex]
[tex]x - 1 = 2[/tex]
Add both sides 1
[tex]x - 1 + 1 = 2 + 1[/tex]
[tex]x = 3[/tex]
There u go ...
