# How do you simplify the expression 3(4(3x - 6) - 2(2x + 1))?

Jul 29, 2016

Use the distributive property to solve the problems in the parentheses.

#### Explanation:

The distributive property states that $a \left(b + c\right) = a \cdot b + a \cdot c$. Let's solve for the 2 problems in the parentheses first:

$4 \left(3 x - 6\right) = 4 \cdot 3 x + 4 \cdot - 6 = 12 x - 24$

$- 2 \left(2 x + 1\right) = - 2 \cdot 2 x + - 2 \cdot 1 = - 4 x - 2$

We now have $3 \left(12 x - 24 - 4 x - 2\right)$.

Next, let's combine like terms:

$12 x - 4 x = 8 x$

$- 24 - 2 = - 26$

We now have $3 \left(8 x - 26\right)$.

To get our answer, let's use the distributive property one more time:

$3 \left(8 x - 22\right) = 3 \cdot 8 x + 3 \cdot - 26 = 24 x - 78$

$24 x - 78$ is our answer.