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In $3-17,$ solve each equation or inequality. Each solution is an integer.$$|2 x+4|=22$$

$x=9,-13$

Algebra

Chapter 1

THE INTEGERS

Section 2

Writing and Solving Number Sentences

The Integers

Equations and Inequalities

Polynomials

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Lectures

01:32

In mathematics, the absolu…

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In $3-17,$ solve each equa…

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solve each equation or inequality. Each solution is an integer, so we want to find the absolute value of two. X plus four is equal to 22 we're solving for X. So when dealing with absolute value, we can have two cases. We have the negative case. So we have this one, which is negative case, and we have the positive case, which is this one. So if it's a negative case, we have negative to express. Foreign princes is equal to 22. Would distribute the negative scientists Negative two X minus four is good 22 Moved the four onto the right hand side by adding four to both sides. We get negative. Two X is equal to 26 excessive water. Nebula 13. If you go to the positive side, we don't have any negative side to distribute. It was just two experts for is equal to 22. Subtract four and divide by two to isolate the X variable and we get X is equal to mine. Thank you

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