Solve -8+5(7p+2)-28p<4p-10

$$- 8 + 5 ( 7 p + 2 ) - 28 p < 4 p - 10$$

Solve for p

$$p<-4$$

Solution Steps

Use the distributive property to multiply 5 by 7p+2.

$$-8+35p+10-28p<4p-10$$

Add -8 and 10 to get 2.

$$2+35p-28p<4p-10$$

Combine 35p and -28p to get 7p.

$$2+7p<4p-10$$

Subtract 4p from both sides.

$$2+7p-4p<-10$$

Combine 7p and -4p to get 3p.

$$2+3p<-10$$

Subtract 2 from both sides.

$$3p<-10-2$$

Subtract 2 from -10 to get -12.

$$3p<-12$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$p<\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$p<-4$$