6+х<3-2х

To solve the inequality \( 6 + x < 3 - 2x \), follow these steps:

1. Add \( 2x \) to both sides to get all terms involving \( x \) on one side: \[ 6 + x + 2x < 3 \] Which simplifies to: \[ 6 + 3x < 3 \]

2. Subtract 6 from both sides to isolate the term with \( x \): \[ 3x < 3 - 6 \] Simplifying this gives: \[ 3x < -3 \]

3. Divide both sides by 3 to solve for \( x \): \[ x < -1 \]

So, the solution to the inequality is: \[ x < -1 \]