-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.