Solve 1/3(3x-9)-1/2(2x+6)

$$\frac { 1 } { 3 } ( 3 x - 9 ) - \frac { 1 } { 2 } ( 2 x + 6 )$$

Evaluate

$$-6$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by 3x-9.

$$\frac{1}{3}\times 3x+\frac{1}{3}\left(-9\right)-\frac{1}{2}\left(2x+6\right)$$

Cancel out 3 and 3.

$$x+\frac{1}{3}\left(-9\right)-\frac{1}{2}\left(2x+6\right)$$

Multiply \frac{1}{3} and -9 to get \frac{-9}{3}.

$$x+\frac{-9}{3}-\frac{1}{2}\left(2x+6\right)$$

Divide -9 by 3 to get -3.

$$x-3-\frac{1}{2}\left(2x+6\right)$$

Use the distributive property to multiply -\frac{1}{2} by 2x+6.

$$x-3-\frac{1}{2}\times 2x-\frac{1}{2}\times 6$$

Cancel out 2 and 2.

$$x-3-x-\frac{1}{2}\times 6$$

Express -\frac{1}{2}\times 6 as a single fraction.

$$x-3-x+\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$x-3-x-3$$

Combine x and -x to get 0.

$$-3-3$$

Subtract 3 from -3 to get -6.

$$-6$$

Factor

$$-6$$