Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-4 Solving Equations - Practice and Problem-Solving Exercises - Page 32: 68



Work Step by Step

We start with the distributive property. We have $4(t-30)=5-3t$ is $4t-120=5-3t$. Now we add 3t to both sides and add 120 to both sides to isolate t with its coefficient. $4t-120=5-3t$ turns into $7t=125$. Now we divide both sides by 7 to fully isolate t to get $t=17.9$.
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