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Different Types of Intervals in Inequality

Solve for x: ...

Question

Solve for x:
$\frac{3 x - 5}{5} - \frac{7 x - 2}{2} = 5$

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Solution

$\frac{6 x - 10 - 35 x + 10}{10} = 5$
$\frac{(6 x - 35 x) + (10 - 10)}{10} = 5$
$\frac{- 29 x}{10} = 5$
x= $\frac{- 50 x}{29}$

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Different Types of Intervals in Inequality

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