Help with Algebra? inequalities

4>x-3(x+2)?

I couldn't solve this, it would be great if you could help

thanks (:

4 > x - 3x -6
4 > -2x -6
4 > 2(-x -3)

Divide by 2 on both sides
4/2 > 2/2(-x -3)
2 > -x -3
2 + 3 > -x -3 + 3
5 > -x
Multiply by -1 on both sides
-5 < x
x > -5

Let's first treat this as a normal equation:
4=x-3(x+2)
4=x-3x-6
10=-2x

x=-5

Then plot the function in your calculator and you'll see it's higher then 4 left of -5,thus:
x<-5

0>x-3x-6-4
0>-2x-10
10>-2x
-5>x