Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.3 - Solving Equations with Variables on Both Sides - Exercises - Page 24: 29

Answer

$-2$.

Work Step by Step

The given equation is $\Rightarrow 8(x+6)-10+r=3(x+12)+5x$ Use distributive property. $\Rightarrow 8x+48-10+r=3x+36+5x$ Add like terms. $\Rightarrow 8x+38+r=8x+36$ Add $-8x-38$ to each side. $\Rightarrow 8x+38+r-8x-38=8x+36-8x-38$ Simplify. $\Rightarrow r=-2$ Hence, the value of $r$ is $-2$.
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