Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 50: 15



Work Step by Step

Distribute 3 on the left and 2 on the right to obtain: $3x-6+7=2x+10 \\3x+1=2x+10$ Subtract $2x$ and $1$ on both sides of the equation to obtain: $3x-2x=10-1 \\x=9$ Check: $\begin{array}{ccc} &3(9-2)+7&=&2(9+5) \\&3(7)+7 &= &2(14) \\&21+7&=&28 \\&28 &= &28\end{array}$
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