What is the answer to -2-6/x =-7/2 ?

The answer to -2-6/x =-7/2 is x=4

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-2-6/x =-7/2

- 2 - \frac{6}{x} = - \frac{7}{2}

x = 4

Solution steps

- 2 - \frac{6}{x} = - \frac{7}{2}

Multiply by LCM

- 4 x - 12 = - 7 x

Move

12

to the right side

- 4 x = - 7 x + 12

Move

7 x

to the left side

3 x = 12

Divide both sides by

3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{2}{1 + x ^{2}} = x

\frac{4}{x} - 8 = - 2

y, \frac{x}{y} = h - k

\frac{4}{5 x} = 11

0 = \frac{x + 1}{x + 2}