Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set - Page 94: 33

$x=-6$

Work Step by Step

Using the properties of equality, the solution to the given equation, $6+\dfrac{7}{2}x=-15$, is \begin{array}{l} \dfrac{7}{2}x=-15-6 \\\\ \dfrac{7}{2}x=-21 \\\\ x=-21\cdot\dfrac{2}{7} \\\\ x=-6 .\end{array}

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