Solve 3(x-2)-1/3(9x+12)

$$3 ( x - 2 ) - \frac { 1 } { 3 } ( 9 x + 12 )$$

Evaluate

$$-10$$

Solution Steps

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

$$3x-6-\frac{1}{3}\left(9x+12\right)$$

Use the distributive property to multiply -\frac{1}{3} by 9x+12.

$$3x-6-\frac{1}{3}\times 9x-\frac{1}{3}\times 12$$

Express -\frac{1}{3}\times 9 as a single fraction.

$$3x-6+\frac{-9}{3}x-\frac{1}{3}\times 12$$

Divide -9 by 3 to get -3.

$$3x-6-3x-\frac{1}{3}\times 12$$

Express -\frac{1}{3}\times 12 as a single fraction.

$$3x-6-3x+\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$3x-6-3x-4$$

Combine 3x and -3x to get 0.

$$-6-4$$

Subtract 4 from -6 to get -10.

$$-10$$

Factor

$$-10$$