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 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 322: 73

Answer

$ x=-3$

Work Step by Step

The given equation is $\Rightarrow 8x+12=4x$ Add $-12-4x$ to each side. $\Rightarrow 8x+12-12-4x=4x-12-4x$ Add like terms. $\Rightarrow 4x=-12$ Divide each side by $4$. $\Rightarrow \frac{4x}{4}=-\frac{12}{4}$ Simplify. $\Rightarrow x=-3$ Check $x=-3$. $\Rightarrow 8(-3)+12=4(-3)$ $\Rightarrow -24+12=-12$ $\Rightarrow -12=-12$ True.
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