# How do you solve for x: x-12=-8(x- 3)?

Apr 27, 2018

$x = 4$

#### Explanation:

$x - 12 = - 8 \left(x - 3\right)$

Use the Distributive Property:
$x - 12 = - 8 \left(x - 3\right)$
$x - 12 = - 8 x + 24$

Use the Additive Inverse:
$x - 12 = - 8 x + 24$
$9 x - 12 = 24$
$9 x = 36$

Use the Multiplicative Inverse:
$9 x = 36$
$x = 4$
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