How do i solve |2x+5|-|3x-21|>5 ? or a similar problem? is the next step something like this? 2x+5-3x+21>5?

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You have to figure out the different scenarios that make this true. You can see an example like this at: Math > Algebra 2 > Linear Inequalities > Solving Absolute Value Equations > Problem 3 The link is: http://www.brightstorm.com/d/math/s/algebra-2/u/linear-inequalities/t/solving-absolute-value-equations/e/solving-absolute-value-equations-problem-3