Solve 2-2x<x+1

$$2-2x < x+1$$

Solve for x

$$x>\frac{1}{3}$$

Solution Steps

Subtract x from both sides.

$$2-2x-x<1$$

Combine -2x and -x to get -3x.

$$2-3x<1$$

Subtract 2 from both sides.

$$-3x<1-2$$

Subtract 2 from 1 to get -1.

$$-3x<-1$$

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

$$x>\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{1}{3}$$