Solve 5-(2x-1)<-6x

$$5 - ( 2 x - 1 ) < - 6 x$$

Solve for x

$$x<-\frac{3}{2}$$

Solution Steps

To find the opposite of 2x-1, find the opposite of each term.

$$5-2x-\left(-1\right)<-6x$$

The opposite of -1 is 1.

$$5-2x+1<-6x$$

Add 5 and 1 to get 6.

$$6-2x<-6x$$

Add 6x to both sides.

$$6-2x+6x<0$$

Combine -2x and 6x to get 4x.

$$6+4x<0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$4x<-6$$

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

$$x<\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$x<-\frac{3}{2}$$