What is the answer to 3=(6-2)/(-4-x) ?

The answer to 3=(6-2)/(-4-x) is x=-16/3

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3=(6-2)/(-4-x)

3 = \frac{6 - 2}{- 4 - x}

x = - \frac{16}{3}

Decimal Notation

x = - 5.33333 \dots

Solution steps

3 = \frac{6 - 2}{- 4 - x}

Simplify

\frac{6 - 2}{- 4 - x} : \frac{4}{- 4 - x}

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

Multiply both sides by

- 4 - x

3 (- 4 - x) = 4

Divide both sides by

3

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

Move

4

to the right side

- x = \frac{16}{3}

Divide both sides by

- 1

x = - \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{16}{3}

x + \frac{475}{x} = 25

\frac{100 x}{1 + x} = 50

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

\frac{20}{45} + \frac{20}{t} = 1

\frac{6}{x} = \frac{3 x}{8}