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 23: 6

Answer

$g=5$.

Work Step by Step

The given equation is $\Rightarrow 8g+10=35+3g$ Add $-3g-10$ to both sides. $\Rightarrow 8g+10-3g-10=35+3g-3g-10$ Simplify. $\Rightarrow 5g=25$ Divide both sides by $5$. $\Rightarrow \frac{5g}{5}=\frac{25}{5}$ Simplify. $\Rightarrow g=5$. Check:- $\Rightarrow 8(5)+10=35+3(5)$ $\Rightarrow 40+10=35+15$ $\Rightarrow 50=50$ True. Hence, the solution is $g=5$.
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