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 - Monitoring Progress - Page 13: 7

Answer

$x=5$

Work Step by Step

$$\begin{align*} 2x(2)-3x&=5 &\text{Perform the subtraction.}\\ 4x-3x&=5 &\text{Simplify.}\\ x &=5 &\text{Divide 4 to both sides.}\\ \end{align*}$$ Check the answer by substituting $5$ to the variable $x$ in the given equation. $$\begin{align*} 2x(5-3)-3x&=5\\ 2(5)(2)-3(5)&\stackrel{?}{=}5\\ 20-15&\stackrel{?}{=}5\\ 5&\stackrel{\checkmark}{=}5 \end{align*}$$ Thus, the solution is $x=5$.
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