Answer:
The answer is
[tex]x > \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x[/tex]
Expand the terms in the bracket
That's
[tex]6x - 4 > 8 - 2x[/tex]
Move - 2x to the left side of the inequality to make it positive
[tex]6x + 2x - 4 > 8 \\ 8x - 4 > 8[/tex]
Add 4 to both sides
That's
[tex]8x - 4 + 4 > 8 + 4 \\ 8x > 12[/tex]
Divide both sides by 8
[tex] \frac{8x}{8} > \frac{12}{8} [/tex]
We have the final answer as
[tex]x > \frac{3}{2} [/tex]
Hope this helps you
