Solve 2x+4<3x-5

$$2 x + 4 < 3 x - 5$$

Solve for x

$$x>9$$

Solution Steps

Subtract 3x from both sides.

$$2x+4-3x<-5$$

Combine 2x and -3x to get -x.

$$-x+4<-5$$

Subtract 4 from both sides.

$$-x<-5-4$$

Subtract 4 from -5 to get -9.

$$-x<-9$$

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

$$x>\frac{-9}{-1}$$

Fraction \frac{-9}{-1} can be simplified to 9 by removing the negative sign from both the numerator and the denominator.

$$x>9$$