Solve -x-8x+13<-2x+4x+31-25

$$- x - 8 x + 13 < - 2 x + 4 x + 31 - 25$$

Solve for x

$$x>\frac{7}{11}$$

Solution Steps

Combine -2x and 4x to get 2x.

$$-x-8x+13<2x+31-25$$

Subtract 25 from 31 to get 6.

$$-x-8x+13<2x+6$$

Subtract 2x from both sides.

$$-x-8x+13-2x<6$$

Combine -8x and -2x to get -10x.

$$-x-10x+13<6$$

Subtract 13 from both sides.

$$-x-10x<6-13$$

Subtract 13 from 6 to get -7.

$$-x-10x<-7$$

Combine -x and -10x to get -11x.

$$-11x<-7$$

Divide both sides by -11. Since -11 is negative, the inequality direction is changed.

$$x>\frac{-7}{-11}$$

Fraction \frac{-7}{-11} can be simplified to \frac{7}{11} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{7}{11}$$