Answer
$a=5$.
Work Step by Step
$a(2x+3)=9x+15+x$
Using distributive property, we have
$2ax+3a=10x+15$
Equating the coefficients of $x$ on both sides, we have
$2a=10$
$\implies a=\frac{10}{2}=5$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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: 35
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