# How do you solve 2x + 5 = -1/2(6x + 14)?

Sep 26, 2015

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#### Explanation:

$2 x + 5 = \textcolor{b l u e}{- \frac{1}{2}} \cdot \left(6 x + 14\right)$

$\left(2 x + 5\right) \cdot \textcolor{b l u e}{\left(- \frac{2}{1}\right)} = \left(6 x + 14\right)$

$\left(2 x + 5\right) \cdot \textcolor{b l u e}{\left(- 2\right)} = \left(6 x + 14\right)$

$- 4 x - 10 = 6 x + 14$

$- 10 - 14 = 6 x + 4 x$

$- 24 = 10 x$

$x = \frac{10}{- 24}$

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