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: 85


The student did not properly apply the distributive property in the first step. $6x-5$ should have been $6x-10$. $x=3$

Work Step by Step

$2(3x-5)=5x-7$ $\longrightarrow$distributive property $6x-10=5x-7$ $\longrightarrow$addition property $6x-10+10=5x-7+10$ $\longrightarrow$simplify $6x=5x+3$ $\longrightarrow$addition property $6x-5x=5x+3-5x$ $\longrightarrow$simplify $x=3$
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