Solve 9m+3<18+3(6m-9)-12m

$$9 m + 3 < 18 + 3 ( 6 m - 9 ) - 12 m$$

Solve for m

$$m<-4$$

Solution Steps

Use the distributive property to multiply 3 by 6m-9.

$$9m+3<18+18m-27-12m$$

Subtract 27 from 18 to get -9.

$$9m+3<-9+18m-12m$$

Combine 18m and -12m to get 6m.

$$9m+3<-9+6m$$

Subtract 6m from both sides.

$$9m+3-6m<-9$$

Combine 9m and -6m to get 3m.

$$3m+3<-9$$

Subtract 3 from both sides.

$$3m<-9-3$$

Subtract 3 from -9 to get -12.

$$3m<-12$$

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

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

Divide -12 by 3 to get -4.

$$m<-4$$