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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 452 (page 208)

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

Short Answer

Expert verified

The solution is $x = 1 o r x = - 1$

Step by step solution

Step 1. Given Information

Absolute value equation: $|3 x - 2| = |2 x - 3|$

Step 2. Calculation

We have,

$|3 x - 2| = |2 x - 3| 3 x - 2 = 2 x - 3 o r 3 x - 2 = - (2 x - 3) 3 x - 2 + 2 = 2 x - 3 + 2 o r 3 x - 2 + 2 = - 2 x + 3 + 2 3 x = 2 x - 1 o r 3 x = - 2 x + 5 3 x - 2 x = 2 x - 1 - 2 x o r 3 x + 2 x = - 2 x + 5 + 2 x x = - 1 o r 5 x = 5 o r x = 1$

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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Most popular questions from this chapter

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