What is the answer to ((+6))/x =(-3) ?

The answer to ((+6))/x =(-3) is x=-2

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((+6))/x =(-3)

\frac{( + 6 )}{x} = (- 3)

x = - 2

Solution steps

\frac{( 6 )}{x} = (- 3)

Simplify

\frac{( 6 )}{x} : \frac{6}{x}

\frac{6}{x} = (- 3)

Multiply both sides by

x

6 = - 3 x

Switch sides

- 3 x = 6

Divide both sides by

- 3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

x^{2} + (- \frac{x}{x + 2})^{2} = 20

x - \frac{2}{x - 6} = \frac{5}{x - 6}

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

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

\frac{2}{3} - \frac{1}{5} = \frac{7}{3 x}