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In $3-14,$ write the solution set of each equation.$$|7-x|+2=12$$

$x=-3,17$

Algebra

Chapter 1

THE INTEGERS

Section 4

Solving Absolute Value Equations and Inequalities

The Integers

Equations and Inequalities

Polynomials

Campbell University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

In $3-14,$ write the solut…

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00:36

Find the solution set for …

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01:08

Solve the equations.$$…

00:15

Solve each equation, and c…

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01:30

we were asked to solve the absolute value equation for X. We need to isolate the absolute value first by subtracting two from each side, and we're left with seven minus X. Absolute value was equal to 10. So the two equations that you get from that is seven minus X is equal to 10 and seven, minus X is equal to minus 10 and so subtract seven from both sides. Get minus X equal two months 23 and now X is equal to minus three Then and then on the other side, I can subtract seven from both sides again, minus X is equal to minus 17. X is equal 17 and now I just need to plug these answers in. Check my plug in minus three for X. Here I get seven minus minus three. So that's 10 absolute value. Tennis. Still, 10 plus two is 12. This world works, and then if I plug in 17 I have seven minus 17 which is going to be minus 10 in the absolute value. So that's going to become 10 plus two is 12. It's about that These work and there's your solutions

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