Solve 3*(2-x)-9>5-2*(3+x)

$$3 \cdot ( 2 - x ) - 9 > 5 - 2 \cdot ( 3 + x )$$

Solve for x

$$x<-2$$

Solution Steps

Use the distributive property to multiply 3 by 2-x.

$$6-3x-9>5-2\left(3+x\right)$$

Subtract 9 from 6 to get -3.

$$-3-3x>5-2\left(3+x\right)$$

Use the distributive property to multiply -2 by 3+x.

$$-3-3x>5-6-2x$$

Subtract 6 from 5 to get -1.

$$-3-3x>-1-2x$$

Add 2x to both sides.

$$-3-3x+2x>-1$$

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

$$-3-x>-1$$

Add 3 to both sides.

$$-x>-1+3$$

Add -1 and 3 to get 2.

$$-x>2$$

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

$$x<-2$$