Solve 2x-5>3(x-3)

$$2 x - 5 > 3 ( x - 3 )$$

Solve for x

$$x<4$$

Solution Steps

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

$$2x-5>3x-9$$

Subtract 3x from both sides.

$$2x-5-3x>-9$$

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

$$-x-5>-9$$

Add 5 to both sides.

$$-x>-9+5$$

Add -9 and 5 to get -4.

$$-x>-4$$

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

$$x<\frac{-4}{-1}$$

Fraction \frac{-4}{-1} can be simplified to 4 by removing the negative sign from both the numerator and the denominator.

$$x<4$$