Solve 4x+2<5x-8

$$4 x + 2 < 5 x - 8$$

Solve for x

$$x>10$$

Solution Steps

Subtract 5x from both sides.

$$4x+2-5x<-8$$

Combine 4x and -5x to get -x.

$$-x+2<-8$$

Subtract 2 from both sides.

$$-x<-8-2$$

Subtract 2 from -8 to get -10.

$$-x<-10$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>\frac{-10}{-1}$$

Fraction \frac{-10}{-1} can be simplified to 10 by removing the negative sign from both the numerator and the denominator.

$$x>10$$