You solve it the same way you'd solve a regular equation with a = sign.

The main difference is if you divide or multiply by a negative number, you need to switch the inequality sign around.

This site might help. It goes through each step of the process if you're having trouble.

http://webmath.com/solverineq.html
Here's how I would do it. I haven't done this stuff in 5 years so hopefully it's right. XD

4(1-3n)-14>4(2n+3)-9n

**Step 1. Expand the brackets**
4-12n-14>8n+12-9n

**Step 2. Simplify**
-10-12n>-n+12

**Step 3. We need all the n's on one side, so +n to each side.**
-10-12n+n>12

**Step 4. We need the regular numbers on the opposite side so +10 to each side.**
-12n+n>12+10

**Step 5. Simplify**
-11n>22

**Step 6. Divide both sides by -11 to get n by itself. (Since dividing by a negative number, switch the inequality sign to point the opposite way.)**
n

<22/-11

**Step 7. Simplify**
n<-2