Solve 2x+5>3(x+1)

$$2 x + 5 > 3 ( x + 1 )$$

Solve for x

$$x<2$$

Solution Steps

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

$$2x+5>3x+3$$

Subtract 3x from both sides.

$$2x+5-3x>3$$

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

$$-x+5>3$$

Subtract 5 from both sides.

$$-x>3-5$$

Subtract 5 from 3 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.

$$x<2$$