Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 108: 54

Answer

$x=-2$

Work Step by Step

A variable $x$ is said to be having a negative solution if and only if it equals to negative value after simplifying. For example, consider the equation $x+5=3$. Simplify the equation by subtracting $5$ from both sides of $x+5=3$. Then, $\begin{aligned}x+5-5&=3-5\\x+0&=-2\\x&=-2\end{aligned}$ Here, since the value of $x$ is finally equal to -2. It can be said that $x+5=3$ or $x=-2$ both represents a variable $x$ with negative solution.
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