Solve 14-2c+4/5>4c

$$14 - \frac { 2 c + 4 } { 5 } > 4 c$$

Solve for c

$$c<3$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$70-\left(2c+4\right)>20c$$

To find the opposite of 2c+4, find the opposite of each term.

$$70-2c-4>20c$$

Subtract 4 from 70 to get 66.

$$66-2c>20c$$

Subtract 20c from both sides.

$$66-2c-20c>0$$

Combine -2c and -20c to get -22c.

$$66-22c>0$$

Subtract 66 from both sides. Anything subtracted from zero gives its negation.

$$-22c>-66$$

Divide both sides by -22. Since -22 is negative, the inequality direction is changed.

$$c<\frac{-66}{-22}$$

Divide -66 by -22 to get 3.

$$c<3$$