Solve 9m+4<5+2(6m-5)-6m

$$9 m + 4 < 5 + 2 ( 6 m - 5 ) - 6 m$$

Solve for m

$$m<-3$$

Solution Steps

Use the distributive property to multiply 2 by 6m-5.

$$9m+4<5+12m-10-6m$$

Subtract 10 from 5 to get -5.

$$9m+4<-5+12m-6m$$

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

$$9m+4<-5+6m$$

Subtract 6m from both sides.

$$9m+4-6m<-5$$

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

$$3m+4<-5$$

Subtract 4 from both sides.

$$3m<-5-4$$

Subtract 4 from -5 to get -9.

$$3m<-9$$

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

$$m<\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$m<-3$$