Solve 9499+15x<143x-9752-24x

$$9499 + 15 x < 143 x - 9752 - 24 x$$

Solve for x

$$x>\frac{19251}{104}$$

Solution Steps

Combine 143x and -24x to get 119x.

$$9499+15x<119x-9752$$

Subtract 119x from both sides.

$$9499+15x-119x<-9752$$

Combine 15x and -119x to get -104x.

$$9499-104x<-9752$$

Subtract 9499 from both sides.

$$-104x<-9752-9499$$

Subtract 9499 from -9752 to get -19251.

$$-104x<-19251$$

Divide both sides by -104. Since -104 is negative, the inequality direction is changed.

$$x>\frac{-19251}{-104}$$

Fraction \frac{-19251}{-104} can be simplified to \frac{19251}{104} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{19251}{104}$$