Solve 3+10x<5x-(1-x)

$$3 + 10 x < 5 x - ( 1 - x )$$

Solve for x

$$x<-1$$

Solution Steps

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

$$3+10x<5x-1-\left(-x\right)$$

The opposite of -x is x.

$$3+10x<5x-1+x$$

Combine 5x and x to get 6x.

$$3+10x<6x-1$$

Subtract 6x from both sides.

$$3+10x-6x<-1$$

Combine 10x and -6x to get 4x.

$$3+4x<-1$$

Subtract 3 from both sides.

$$4x<-1-3$$

Subtract 3 from -1 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.

$$x<-1$$