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SchachtN

Answered question

2021-09-29

Solve for the variable. Solving equations with fractions.

8 - \frac{1}{2} x = \frac{1}{6} x

Talisha

Skilled2021-09-30Added 93 answers

Given:

8 - \frac{1}{2 x} = \frac{1}{6 x}

To solve the given equation.
We have,

8 - \frac{1}{2 x} = \frac{1}{6 x}

8 = \frac{1}{6 x} + \frac{1}{2 x}

Taking

\frac{1}{x}

common,

8 = \frac{1}{x} (\frac{1}{6} + \frac{1}{2})

8 = \frac{1}{x} (\frac{2}{3})

So,

x = \frac{1}{8} \cdot \frac{2}{3}

x = \frac{1}{12}

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