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 - Exercises - Page 24: 36

Answer

$a=4$

Work Step by Step

$8x-8+3ax=5ax-2a$ Rearranging the terms, we have $8x-8=5ax-3ax-2a$ $\implies 8x-8=2ax-2a$ Equating the coefficients of $x$ in both sides of the equation, we obtain $8=2a$ $\implies a=\frac{8}{2}=4$
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