Solve x+8<4x-15

$$x + 8 < 4 x - 15$$

Solve for x

$$x>\frac{23}{3}$$

Solution Steps

Subtract 4x from both sides.

$$x+8-4x<-15$$

Combine x and -4x to get -3x.

$$-3x+8<-15$$

Subtract 8 from both sides.

$$-3x<-15-8$$

Subtract 8 from -15 to get -23.

$$-3x<-23$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x>\frac{-23}{-3}$$

Fraction \frac{-23}{-3} can be simplified to \frac{23}{3} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{23}{3}$$