Solve 18<-3(4x-2)

$$18 < - 3 ( 4 x - 2 )$$

Solve for x

$$x<-1$$

Solution Steps

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$\frac{18}{-3}>4x-2$$

Divide 18 by -3 to get -6.

$$-6>4x-2$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$4x-2<-6$$

Add 2 to both sides.

$$4x<-6+2$$

Add -6 and 2 to get -4.

$$4x<-4$$

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

$$x<\frac{-4}{4}$$

Divide -4 by 4 to get -1.

$$x<-1$$