Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.3 - Solving Equations with Variables on Both Sides - Monitoring Progress - Page 20: 1

Answer

$x=-2$

Work Step by Step

$$\begin{align*} -2x-3x&=3x+10-3x &\text{Subtract $3x$ from each side.}\\ -5x&=10 &\text{Simplify.}\\ \frac{-5x}{-5}&=\frac{10}{-5} &\text{Divide $-5$ to both sides.}\\ x&=-2 &\text{Simplify.} \end{align*}$$ Check if the answer is correct by substituting $-2$ to the variable in the given equation. $$\begin{align*} -2x&=3x+10\\ -2(-2)&\stackrel{?}{=}3(-2)+10\\ 4&\stackrel{?}{=}-6+10\\ 4&\stackrel{\checkmark}{=}4 \end{align*}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.