Jorna,

If you are to solve this inequality, that is find all numbers x for which the inequality is true, then I would begin by expanding the left side to obtain

2x - 8 > -4 + 2x.

Subtracting 2x from each side yields

-8 > -4.

This is clearly false, -8 is not larger than -4. Hence for any number x 2(x - 4)>-4 + 2x is false. Thus the is no number x that satisfies the inequality.

I hope this helps,
Penny