Solve 180-12-8x<7x+12

$$180 - 12 - 8 x < 7 x + 12$$

Solve for x

$$x>\frac{52}{5}$$

Solution Steps

Subtract 12 from 180 to get 168.

$$168-8x<7x+12$$

Subtract 7x from both sides.

$$168-8x-7x<12$$

Combine -8x and -7x to get -15x.

$$168-15x<12$$

Subtract 168 from both sides.

$$-15x<12-168$$

Subtract 168 from 12 to get -156.

$$-15x<-156$$

Divide both sides by -15. Since -15 is negative, the inequality direction is changed.

$$x>\frac{-156}{-15}$$

Reduce the fraction \frac{-156}{-15} to lowest terms by extracting and canceling out -3.

$$x>\frac{52}{5}$$