Join Karin Hutchinson for an indepth discussion in this video Solving absolute value equations, part of Learning Algebra: Solving Equations.
 In this lesson, we're going to solve…an absolute value equation.…This equation is the absolute value…of x minus 10 equals 20.…Before we begin solving, let's think about this expression…inside of the absolute value.…If we were to take this expression out,…what number would we put inside…of those absolute value bars?…The absolute value of what number is equal to 20?…Well, we know that the absolute value of 20 is equal to 20.…
And is there another answer?…Is there another number where the absolute value…of that number is equal to 20?…And hopefully you remember that this could be negative 20.…Because the absolute value of negative 20…is also equal to 20.…So, now going back to this expression,…we know that this expression has to equal 20,…but it could also equal negative 20.…Because if this expression equals negative 20,…we're still going to end up with an absolute value…of positive 20.…
That's going to allow us, or help us,…to write two equations.…Because in order to solve this correctly,…we need to write two equations.…
Author
Karin HutchinsonReleased
10/19/2015 Isolating variables
 Keeping equations balanced
 Solving addition and subtraction equations
 Solving multiplication and division equations
 Solving equations that involve the distributive property
 Solving twostep and multistep equations
 Solving equations with decimals and fractions
 Solving equations with variables on both sides
 Understanding literal equations
 Solving absolute value equations
Skill Level Intermediate
Duration
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Introduction

Welcome1m


1. Introduction to Solving Equations

Keeping equations balanced1m 30s

2. Addition Equations

3. Subtraction Equations

4. Multiplication Equations

5. Division Equations

6. TwoStep Equations

Solving a twostep equation1m 56s

7. Solving Multistep Equations with the Distributive Property

8. Solving Equations with Decimals

9. Solving Equations with Fractions

10. Solving Literal Equations

11. Equations with Variables on Both Sides

12. Solving Multistep Equations

13. Solving Absolute Value Equations

Conclusion

Next steps37s

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Video: Solving absolute value equations