Solve 9m+3<51+4(5m-17)-15m

$$9 m + 3 < 51 + 4 ( 5 m - 17 ) - 15 m$$

Solve for m

$$m<-5$$

Solution Steps

Use the distributive property to multiply 4 by 5m-17.

$$9m+3<51+20m-68-15m$$

Subtract 68 from 51 to get -17.

$$9m+3<-17+20m-15m$$

Combine 20m and -15m to get 5m.

$$9m+3<-17+5m$$

Subtract 5m from both sides.

$$9m+3-5m<-17$$

Combine 9m and -5m to get 4m.

$$4m+3<-17$$

Subtract 3 from both sides.

$$4m<-17-3$$

Subtract 3 from -17 to get -20.

$$4m<-20$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$m<\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$m<-5$$