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

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

Solve for x

$$x<20$$

Solution Steps

Use the distributive property to multiply 3 by x-5.

$$2x+5>3x-15$$

Subtract 3x from both sides.

$$2x+5-3x>-15$$

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

$$-x+5>-15$$

Subtract 5 from both sides.

$$-x>-15-5$$

Subtract 5 from -15 to get -20.

$$-x>-20$$

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

$$x<\frac{-20}{-1}$$

Fraction \frac{-20}{-1} can be simplified to 20 by removing the negative sign from both the numerator and the denominator.

$$x<20$$