Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - Chapter Review - Page 154: 31



Work Step by Step

In order to isolate x, we first cancel out addition by subtracting one on both sides. This leaves us with the following: $-1=\frac{x+r}{t}$. We cannot just subtract by r on both sides because it, like x, is being divided by t. In order to cancel out division, we use multiplication, so we multiply both sides by t to get that $x+r=-t$. We now cancel out the addition by subtracting r on both sides, giving us a final answer of $x=-t-r$.
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