Solve 2x-1<3(x-1)

$$2 x - 1 < 3 ( x - 1 )$$

Solve for x

$$x>2$$

Solution Steps

Use the distributive property to multiply 3 by x-1.

$$2x-1<3x-3$$

Subtract 3x from both sides.

$$2x-1-3x<-3$$

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

$$-x-1<-3$$

Add 1 to both sides.

$$-x<-3+1$$

Add -3 and 1 to get -2.

$$-x<-2$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>\frac{-2}{-1}$$

Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.

$$x>2$$