# How do you solve 12(x-4)=144 using the distributive property?

Aug 20, 2016

$x = 16$

#### Explanation:

Distributive property states that a×(b+c)=a×b+a×c.

Hence, $12 \left(x - 4\right) = 144$ can be written as

12×x-12×4=144 or

$12 x - 48 = 144$ or

$12 x = 144 + 48 = 192$ or

x=192/12=(16×12)/(1×12) or

x=(16×cancel12)/(1×cancel12) or

$x = 16$

Aug 20, 2016

$x = 16$

#### Explanation:

This is saying: multiply everything inside the bracket by the 12.
This ability is the property of being distributive.

You can distribute the 12 over everything inside the bracket

$12 x - 48 = 144$

$12 x = 192$
$x = \frac{192}{12} = 16$