Solve 2x+5<3x-7

$$2 x + 5 < 3 x - 7$$

Solve for x

$$x>12$$

Solution Steps

Subtract 3x from both sides.

$$2x+5-3x<-7$$

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

$$-x+5<-7$$

Subtract 5 from both sides.

$$-x<-7-5$$

Subtract 5 from -7 to get -12.

$$-x<-12$$

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

$$x>\frac{-12}{-1}$$

Fraction \frac{-12}{-1} can be simplified to 12 by removing the negative sign from both the numerator and the denominator.

$$x>12$$