Solve 11-(2x+4)<-5(x+4)

$$11 - ( 2 x + 4 ) < - 5 ( x + 4 )$$

Solve for x

$$x<-9$$

Solution Steps

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

$$11-2x-4<-5\left(x+4\right)$$

Subtract 4 from 11 to get 7.

$$7-2x<-5\left(x+4\right)$$

Use the distributive property to multiply -5 by x+4.

$$7-2x<-5x-20$$

Add 5x to both sides.

$$7-2x+5x<-20$$

Combine -2x and 5x to get 3x.

$$7+3x<-20$$

Subtract 7 from both sides.

$$3x<-20-7$$

Subtract 7 from -20 to get -27.

$$3x<-27$$

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

$$x<\frac{-27}{3}$$

Divide -27 by 3 to get -9.

$$x<-9$$