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Solve each equation. See Example 6.$$\left|\frac{2}{3} x-2\right|=\left|\frac{1}{3} x+3\right|$$
Algebra
Chapter 9
Inequalities and Absolute Value
Section 2
Absolute Value Equations and Inequalities
Graphs and Statistics
Equations and Inequalities
Systems of Equations and Inequalities
Missouri State University
McMaster University
Harvey Mudd College
Lectures
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we have the right number. You did too, in which we need to solve the in the equation containing absolute value to what? Three x minus two week or two one by three x blessed remodelers. So from the difference in we will be having to wear three X minus two equal toe minus off one by three Express tree or to where three X minus two equal toe simple one by three x blustery. So we need to add to hear and to hear, to hear and to hear to get rid of this minus two. Okay, so we have now to my three x equal to minus one by three X minus three plus two Oh, to wear three x equal toe one by three x plus five No, since this is to buy three this in minus one battery. So we should just add one by the Xia and he also one by the X Here we should subtract one by three x one by three x So this will get cancelled out and here this will also get canceled out so we would be left with over three x plus one by three x. It will do to minus one minus one Oh to where three X minus one by three x equal to five now this will become X because it will become three x by three less side on military exploit three equals minus one Oh, two x minus X by three equal to five. This will become X equal to minus one or exabyte prequel to file. But it is just multiply both sides by three. We'll get canceled out, so we will be having X equal to minus one comma this din as our answer.
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