Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.1 - The Additon Property of Equality - Exercise Set - Page 101: 49

Answer

$x=-7$

Work Step by Step

$10-(2x-4)=7-3x$ First, remove the parentheses by changing the sign of every term inside it: $10-2x+4=7-3x$ Substract $10$ to both sides of the equation $10-10-2x+4=7-3x-10$ $-2x+4=-3x-3$ Substract $4$ to both sides of the equation: $-2x+4-4=-3x-3-4$ $-2x=-3x-7$ To finally get the answer, add $3x$ to both sides of the equation: $-2x+3x=-3x+3x-7$ $x=-7$
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