# How do you solve 8(x-3)=96 using the distributive property?

Nov 19, 2017

x = 15

#### Explanation:

Given
$8 \left(x - 3\right) = 96$
Solve for x

1) Clear the parentheses by distributing the 8
$8 x - 24 = 96$

2) Add 24 to both sides to isolate the $8 x$ term
$8 x = 120$

3) Divide both sides by 8 to isolate $x$
$x = 15$ ← answer

$x = 15$
........................

Check
Using the original equation, sub in 15 in the place of $x$
to see if the equation is still true
$8 \left(x - 3\right) = 96$
Sub in 15 in the place of $x$
$8 \left(15 - 3\right) = 96$
This equation should still really equal 96

Distribute the 8
$8 \left(10 + 5\right) - 8 \left(3\right)$ should still equal 96
$80 + 40 - 24$ should still equal 96
$120 - 24$ should still equal 96
96 does equal 96
Check!