Solve 5x-13<11(3x-4)

$$5 x - 13 < 11 ( 3 x - 4 )$$

Solve for x

$$x>\frac{31}{28}$$

Solution Steps

Use the distributive property to multiply 11 by 3x-4.

$$5x-13<33x-44$$

Subtract 33x from both sides.

$$5x-13-33x<-44$$

Combine 5x and -33x to get -28x.

$$-28x-13<-44$$

Add 13 to both sides.

$$-28x<-44+13$$

Add -44 and 13 to get -31.

$$-28x<-31$$

Divide both sides by -28. Since -28 is negative, the inequality direction is changed.

$$x>\frac{-31}{-28}$$

Fraction \frac{-31}{-28} can be simplified to \frac{31}{28} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{31}{28}$$