solve for X ?

1) 8-3x < 14
-3x/-3 < 6/-3
x=-2

2) 7x -3 > 4x +3
3x -3> 3
3x/3 >6/3
x>2

3) x-5<3 and 2x > -8
x<8 x>-4

4) x+ 7 <3 or 5x > 30
x<-4 x> 6

are they correct..

1. The solution is an inequality. Also when you multiply or divide by a negative number, the inequality is reversed.

from you step:
-3x/-3 < 6/-3
Since you are dividing both sides by a negative number the inequality is flipped:
x > -2

2. OK