Solve 94.99+15x<14.3x-97.52-2.4x

$$94.99 + 15 x < 14.3 x - 97.52 - 2.4 x$$

Solve for x

$$x<-62.1$$

Solution Steps

Combine 14.3x and -2.4x to get 11.9x.

$$94.99+15x<11.9x-97.52$$

Subtract 11.9x from both sides.

$$94.99+15x-11.9x<-97.52$$

Combine 15x and -11.9x to get 3.1x.

$$94.99+3.1x<-97.52$$

Subtract 94.99 from both sides.

$$3.1x<-97.52-94.99$$

Subtract 94.99 from -97.52 to get -192.51.

$$3.1x<-192.51$$

Divide both sides by 3.1. Since 3.1 is positive, the inequality direction remains the same.

$$x<\frac{-192.51}{3.1}$$

Expand \frac{-192.51}{3.1} by multiplying both numerator and the denominator by 100.

$$x<\frac{-19251}{310}$$

Reduce the fraction \frac{-19251}{310} to lowest terms by extracting and canceling out 31.

$$x<-\frac{621}{10}$$