Help help help math math

[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]
[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]
[tex]2 |x - 3| = 30[/tex]
[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]
[tex] |x - 3| = 15[/tex]
[tex]x - 3 = 15[/tex]
[tex]x - 3 + 3 = 15 + 3[/tex]
[tex]x = 18[/tex]
[tex]x - 3 = - 15[/tex]
[tex]x - 3 + 3 = - 15 + 3[/tex]
[tex]x = - 12[/tex]