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Match the equation with the step, from the column on the right, that would be used to solve the equation.$x+6=30 \quad$ a) Add 6 to both sides.b) Subtract 6 from both sides.c) Multiply both sides by $6 .$d) Divide both sides by 6

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Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 1

Solving Equations

The Language of Algebra

Percent

Equations and Inequalities

Rational Functions

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University of Michigan - Ann Arbor

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okay, if you're gonna solve this one step equation X plus six plus 30 your goals to get the X by itself. So you then take away six from both sides you can think about is adding and negative 60 both sides. Or you could think of subtracting section both science. Basically, this is called the subtraction principle. You basically have an equation. If you ask, attract the same out from both sides, you create a new equation. That's an equivalent equation. The same solution. So hence this is a zero pair, right? It goes away and you're left with X is equal to 24. All right, you guys check it to make sure that you're right by plugging it back in and seeing if you get a true statement to the original equation. So these two equations are supposed to be equivalent right? X plus six equals 30. Just like X equals 24 way we solved it is we subtracted six from both sides. Well, check it. Does it work is 24 plus six equal to 30. And the answer is yes. So we know it works

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