Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2: 77

Answer

$x=\dfrac{2}{3}$

Work Step by Step

Distribute $2$ (on the left side of the equation) and distribute 3 (on the right side), and then combine like terms: $7+6x-10=8-(6x+3) \\6x-3=8-6x-3 \\6x-3=-6x+5$ Solve the equation to obtain: $6x+6x=5+3 \\12x=8 \\x=\frac{8}{12} \\x=\frac{2}{3}$
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