Solve 3x+2<4x-5

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

Solve for x

$$x>7$$

Solution Steps

Subtract 4x from both sides.

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

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

$$-x+2<-5$$

Subtract 2 from both sides.

$$-x<-5-2$$

Subtract 2 from -5 to get -7.

$$-x<-7$$

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

$$x>\frac{-7}{-1}$$

Fraction \frac{-7}{-1} can be simplified to 7 by removing the negative sign from both the numerator and the denominator.

$$x>7$$