5x-2<-2x

To solve the inequality \( 5x - 2 < -2x \), you can follow these steps:

1. Add \( 2x \) to both sides to combine like terms: \[ 5x + 2x - 2 < 0 \] This simplifies to: \[ 7x - 2 < 0 \]

2. Add 2 to both sides: \[ 7x < 2 \]

3. Divide by 7 (since 7 is a positive number, the direction of the inequality stays the same): \[ x < \frac{2}{7} \]

The solution to the inequality is: \[ x < \frac{2}{7} \]

You can express this solution in interval notation as: \[ (-\infty, \frac{2}{7}) \]