-5x-9<3-3x

To solve the inequality \(-5x - 9 < 3 - 3x\), follow these steps:

1. Move the terms involving \(x\) to one side and constant terms to the other side.

   Add \(3x\) to both sides:

   \[ -5x + 3x - 9 < 3 \]

   This simplifies to:

   \[ -2x - 9 < 3 \]

2. Next, add 9 to both sides to isolate the term with \(x\):

   \[ -2x < 3 + 9 \]

   This simplifies to:

   \[ -2x < 12 \]

3. Now, divide both sides by -2. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:

   \[ x > -6 \]

So, the solution to the inequality \(-5x - 9 < 3 - 3x\) is:

\[ x > -6 \]

This means that any value of \(x\) greater than \(-6\) will satisfy the original inequality.