Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 3 - Section 3.3 - Solving Linear Equations in One Variable - Exercise Set - Page 190: 86


The distributive property was not applied properly in the first step. $36x-7$ should have been $36x-63$. $x=-64$

Work Step by Step

$37x+1=9(4x-7)$ $\longrightarrow$distributive property $37x+1=36x-63$ $\longrightarrow$addition property $37x+1-1=36x-63-1$ $\longrightarrow$simplify $37x=36x-64$ $\longrightarrow$addition property $37x-36x=36x-64-36x$ $\longrightarrow$simplify $x=-64$
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