Solve 2(x+4)<-3(x+4)-1

$$2 ( x + 4 ) < - 3 ( x + 4 ) - 1$$

Solve for x

$$x<-\frac{21}{5}$$

Solution Steps

Use the distributive property to multiply 2 by x+4.

$$2x+8<-3\left(x+4\right)-1$$

Use the distributive property to multiply -3 by x+4.

$$2x+8<-3x-12-1$$

Subtract 1 from -12 to get -13.

$$2x+8<-3x-13$$

Add 3x to both sides.

$$2x+8+3x<-13$$

Combine 2x and 3x to get 5x.

$$5x+8<-13$$

Subtract 8 from both sides.

$$5x<-13-8$$

Subtract 8 from -13 to get -21.

$$5x<-21$$

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$x<-\frac{21}{5}$$