Question

2/3x-1/2=x+7/6 How do I do this? Please give step by step

Answer 1

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Question
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$\frac{2}{3}x - \frac{1}{2} = x + \frac{7}{6}$

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Rewrite the right to the left
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$x + \frac{7}{6} = \frac{2}{3}x - \frac{1}{2}$

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Take away 2/3x from both sides
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$x + \frac{7}{6} - \frac{2}{3}x= \frac{2}{3}x - \frac{1}{2} - \frac{2}{3}x$
$x - \frac{2}{3}x + \frac{7}{6}= \frac{2}{3}x - \frac{2}{3}x - \frac{1}{2}$
$\frac{7}{6} + \frac{1}{3}x= - \frac{1}{2}$

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Take away 7/6 from both sides
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$\frac{7}{6} + \frac{1}{3}x - \frac{7}{6} = - \frac{1}{2} - \frac{7}{6}$
$\frac{7}{6} - \frac{7}{6} + \frac{1}{3}x = - \frac{1}{2} - \frac{7}{6}$
$\frac{1}{3}x = - \frac{1}{2} - \frac{7}{6}$

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Change the denominator to be the same and minus
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 $\frac{1}{3}x = - \frac{3}{6} - \frac{7}{6}$
$\frac{1}{3}x = - \frac{10}{6}$

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Multiply by 6 on both sides
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$2x= -10$

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Divide by 2  both sides
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$x = -5$

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Answer : x = -5
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