Solve 2(x+1)<3x

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

Solve for x

$$x>2$$

Solution Steps

Use the distributive property to multiply 2 by x+1.

$$2x+2<3x$$

Subtract 3x from both sides.

$$2x+2-3x<0$$

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

$$-x+2<0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-x<-2$$

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.

$$x>2$$