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

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Answer 1 · 2018-04-27T00:20:43

$x = 4$

$x - 12 = -8(x - 3)$

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

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

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

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