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 - 1.5 - Rewriting Equations and Formulas - Exercises - Page 40: 20

Answer

$x=\frac{a-d}{b+c}$, where $b\neq0$ and $c\neq 0$.

Work Step by Step

The given equation is $\Rightarrow a=bx+cx+d$ Subtract $d$ from each side. $\Rightarrow a-d=bx+cx+d-d$ Simplify. $\Rightarrow a-d=bx+cx$ Use distributive property. $\Rightarrow a-d=x(b+c)$ Divide each side by $b+c$. $\Rightarrow \frac{a-d}{b+c}=\frac{x(b+c)}{b+c}$ Simplify. $\Rightarrow \frac{a-d}{b+c}=x$ Hence, the rewritten literal equation is $x=\frac{a-d}{b+c}$, where $b\neq0$ and $c\neq 0$.
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.