Solve 2x-2+4x/2<-5

$$\frac { 2 x - 2 + 4 x } { 2 } < - 5$$

Solve for x

$$x<-\frac{4}{3}$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$2x-2+4x<-5\times 2$$

Combine 2x and 4x to get 6x.

$$6x-2<-5\times 2$$

Multiply -5 and 2 to get -10.

$$6x-2<-10$$

Add 2 to both sides.

$$6x<-10+2$$

Add -10 and 2 to get -8.

$$6x<-8$$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$x<\frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

$$x<-\frac{4}{3}$$