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Solve each equation. See Example 6.$$|2 x-6|=|2 x+11|$$
$\left\{-\frac{5}{4}\right\}$
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
McMaster University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
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01:07
01:06
we have a baby to fire in which we need to solve the question. Models of dress minus six. My six equal toe model. It's of two X plus 11. Okay, so this conversion eyes to works minus six. Equal to duets. Not negative afterwards. Blessed to live in, uh, two works minus six, equal to two x 11. Well, if you open this wreck it, we get minus two works minus 11 or two. Works minus six, equal to two works. Bless a living. Let us. And to Weps from in both the sides here and here. We need to subject to X from both the sides. Okay, so this will become for X minus six equal to minus 11. Or this will become minus six. Equal toe 11 which is false. So there will be only one solution for this solution. Will have six from in both the sides so that just get cancel out. So we will be having for X equal to minus five. Now we should divide both sides by for this will get cancelled out. So we will be having X equal to minus 5/4 as only one solution. Thank you.
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