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 - 1.2 - Solving Multi-Step Equations - Exercises - Page 16: 2

Answer

The equation can be solved either $(1)$ by distributing $2$ first or $(2)$ by dividing $2$ to both sides of the equation.

Work Step by Step

The given equation can be solved by: $(1)$ distributing $2$ first. $\begin{align*} 2(4x)-2(11)&=10\\ 8x-22&=10\\ 8x&=32\\ x&=4 \end{align*}$ $(2)$ dividing both sides by $2$ first. $\begin{align*} 4x-11&=5\\ 4x&=16\\ x&=4 \end{align*}$
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