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Solve each equation, if possible.$$\frac{x}{5}-5=-12$$
$x=(-35)$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 2
More about Solving Equations
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Baylor University
University of Michigan - Ann Arbor
Idaho State University
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So we're solving X over five. Minus five equals negative. 12. And since my goal is this X, I'm gonna undo everything else. First in reverse order of operations, starting with this negative five. So what I'm gonna do to get rid of that negative five is I'm going to add five to both sides, and that will give me X over five equals negative. Seven. Since my ex is divided by five, I'm gonna undo that by multiplying by five. And of course, I'll do that on both sides. The magic of that is my fives will cross off and I'm left with X equals negative. 35. Okay, We always want to check, so I'm gonna plug in negative. 35 for X negative. 35 divided by five is negative seven. And is that equal to negative 12? Yep. It sure is. So X equals negative. 35
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