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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 446 (page 208)

In the following exercises, solve.
$- 2 |x - 3| + 8 = - 4$

Short Answer

Expert verified

The solution is $x = 9 o r x = - 3$

Step by step solution

Step 1. Given information

Absolute value equation: $- 2 |x - 3| + 8 = - 4$

Step 2. Calculation

We have,

- 2 |x - 3| + 8 = - 4

$- 2 |x - 3| + 8 - 8 = - 4 - 8$

$- 2 |x - 3| = - 12$

$\frac{- 2 |x - 3|}{- 2} = \frac{- 12}{- 2}$

$|x - 3| = 6$

$x - 3 = - 6 o r x - 3 = 6$

$x - 3 + 3 = - 6 + 3 o r x - 3 + 3 = 6 + 3$

$x = - 3 o r x = 9$

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In the following exercises, solve.-2x-3+8=-4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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In the following exercises, solve.
$- 2 |x - 3| + 8 = - 4$