# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set: 97

$x=2$

#### Work Step by Step

Using the properties of equality, the value of $x$ in the given equation, $cx+5c=7c$, is \begin{array}{l}\require{cancel} cx+5c-5c=7c-5c \\\\ cx=2c \\\\ \dfrac{cx}{c}=\dfrac{2c}{c} \\\\ x=2 .\end{array}

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