Solve 5u-20>-3(2-4u)

$$5 u - 20 > - 3 ( 2 - 4 u )$$

Solve for u

$$u<-2$$

Solution Steps

Use the distributive property to multiply -3 by 2-4u.

$$5u-20>-6+12u$$

Subtract 12u from both sides.

$$5u-20-12u>-6$$

Combine 5u and -12u to get -7u.

$$-7u-20>-6$$

Add 20 to both sides.

$$-7u>-6+20$$

Add -6 and 20 to get 14.

$$-7u>14$$

Divide both sides by -7. Since -7 is negative, the inequality direction is changed.

$$u<\frac{14}{-7}$$

Divide 14 by -7 to get -2.

$$u<-2$$