## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 363: 101

#### Answer

$x=10$

#### Work Step by Step

The equation is $0.7x+0.4\left( 20 \right)=0.5\left( x+20 \right)$. Use the order of operations, \begin{align} & 0.7x+0.4\left( 20 \right)=0.5\left( x+20 \right) \\ & 0.7x+8=0.5x+10 \end{align} Subtract $0.5x$ from both sides of the equal sign, \begin{align} & 0.7x+8-0.5x=0.5x+10-0.5x \\ & 0.2x+8=10 \end{align} Subtract $8$ from both sides of the equal sign, \begin{align} & 0.2x+8-8=10-8 \\ & 0.2x=2 \\ & x=\frac{2}{0.2} \\ & x=10 \end{align} Therefore, $x=10$

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