2(2x+3)<-2x-12

Apply the distributive property.

2(2x)+2⋅3<-2x-12

Multiply.

Multiply 2 by 2.

4x+2⋅3<-2x-12

Multiply 2 by 3.

4x+6<-2x-12

4x+6<-2x-12

4x+6<-2x-12

Add 2x to both sides of the inequality.

4x+6+2x<-12

Add 4x and 2x.

6x+6<-12

6x+6<-12

Subtract 6 from both sides of the inequality.

6x<-12-6

Subtract 6 from -12.

6x<-18

6x<-18

Divide each term in 6x<-18 by 6.

6×6<-186

Cancel the common factor of 6.

Cancel the common factor.

6×6<-186

Divide x by 1.

x<-186

x<-186

Divide -18 by 6.

x<-3

x<-3

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