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So I want to get all of the absolute values of x plus 7 on the left-hand side, so I want to get rid of this one on the right-hand side. And I want to get all of these constant terms on to the right-hand side.

Easiest way is to subtract 4 right over there, but if we do it on the left-hand side, we have to do it on the right-hand side as well. Search Pre-Algebra All courses. So our left-hand side, if I have 8 of something– and in this case the something is absolute values of x plus 7’s– but if I have 8 of something and I add 6 of that same something, I now have 14 of that something. The negative 6 and the 6 x plus 7’s cancel out, or absolute values of x plus 7’s cancel out, and that was intentional.

This Algebra 2 math course is divided into 13 chapters and each chapter is divided into several lessons. Let’s try to solve for not x first. So let’s try to do that. And then we’re left with 6 minus 4, which is just 2. Now just as promised, we want to solve for the absolute value of x plus 7, so let’s divide both sides by 14 to get rid of that coefficient there, or that factor, or whatever you want to call it, the thing that’s multiplying the absolute value of x plus 7.

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## Worked example: absolute value equation with two solutions

If these two things are equal and we are being told that they are, then if you add something on this side, the only way that the equality will hold is if you still do it on the left-hand side. So that’s going to be equal to 2. You have alyebra absolute values in it.

Let me just rewrite this equation so that the absolute values really pop out. Solve absolute value equations.

Easiest way to get rid of it is to add 6 times the absolute value of x plus 7 to the right-hand side. Algebra 2 Exponential and logarithmic functions Overview Exponential functions Logarithm and logarithm functions Logarithm property. To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

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### Algebra 2 Common Core () :: Homework Help and Answers :: Slader

Algebra 2 Quadratic functions and inequalities Overview How to graph quadratic functions How to solve quadratic equations The Quadratic formula Standard deviation and normal distribution. Discrete mathematics and probability. The 4 and the negative 4 cancel out, and that was intentional.

Algebra 2 Rational expressions Overview Variation Operate on rational expressions. It’s this complex equation. So now let’s just solve for x. So how can we reason through this?

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## Office of State Assessment

We’re just going to solve for the absolute value of x plus 7. We can’t, of course, only do that to the right-hand side. Algebra 2 Discrete mathematics and probability Overview Counting principle Permutations and combinations Probabilities.

If you’re seeing this message, it means we’re having trouble loading external resources on our website. Exponential and logarithmic functions.

Algebra 2 Conic Sections Overview Distance between two points and the midpoint Equations of conic sections. So that’s going to be 14 absolute values of x plus 7, 14 times the absolute value of x plus 7.

So you could almost treat this expression– the absolute value of x plus 7, you can just treat it as a variable, and then once you solve for that, it becomes a simpler absolute value problem. Video transcript We’re asked to solve for x. And so what does this get us? Polynomials and radical expressions.

Algebra 2 How to graph functions and linear equations Overview Functions and linear equations Graph functions and relations Graph inequalities. But the way to algebga about this is if you could solve for the absolute value expression, you could then– it then turns into a much simpler problem, then you can take it from there. How to solve system of linear equations.

Under each lesson you will find theory, examples and video lessons.