What is the answer to 2= 2/3-7/x ?

The answer to 2= 2/3-7/x is x=-21/4

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2= 2/3-7/x

2 = \frac{2}{3} - \frac{7}{x}

x = - \frac{21}{4}

Decimal Notation

x = - 5.25

Solution steps

2 = \frac{2}{3} - \frac{7}{x}

Multiply by LCM

6 x = 2 x - 21

Move

2 x

to the left side

4 x = - 21

Divide both sides by

4

x = - \frac{21}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{21}{4}

\frac{8}{6} = \frac{7}{k + 9}

\frac{x - 1}{x + 4} = \frac{3}{x}

18 = \frac{1}{12 y + 14}

x + \frac{1}{x} = \frac{3}{5}

\frac{2 x - 9}{3 x - 2} = - 3