![\frac{2x}{5} + 1 = \frac{1}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B5%7D%20%2B%201%20%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20)
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Take away 1 from both sides
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![\frac{2x}{5} = \frac{1}{15} - 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20-%201)
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Evaluate the value on the right
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![\frac{2x}{5} = - \frac{14}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B5%7D%20%20%3D%20-%20%5Cfrac%7B14%7D%7B15%7D%20)
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Multiply by 15 on both side
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![\frac{2x}{5} \times 15 = - \frac{14}{15} \times 15](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B5%7D%20%5Ctimes%2015%20%3D%20-%20%5Cfrac%7B14%7D%7B15%7D%20%20%5Ctimes%2015)
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Evaluate
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![6x = -14](https://tex.z-dn.net/?f=%206x%20%3D%20-14)
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Divide by 6 on both sides
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![x = - \frac{14}{6}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%7B14%7D%7B6%7D)
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Simplify
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![x = - \frac{7}{3}](https://tex.z-dn.net/?f=x%20%3D%20-%20%5Cfrac%7B7%7D%7B3%7D)