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

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

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-2=(3-7)/(x-2)

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

x = 4

Solution steps

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

Simplify

\frac{3 - 7}{x - 2} : - \frac{4}{x - 2}

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

Multiply both sides by

x - 2

- 2 (x - 2) = - 4

Divide both sides by

- 2

x - 2 = 2

Move

2

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 4

\frac{x - 8}{x + 2} = - \frac{3}{x}

4 + \frac{9}{x} = \frac{5}{2}

3 x - 6 - \frac{9}{x} = 0

\frac{9.1}{b} = \frac{9.6}{4.35}

\frac{x + 3}{8 x} = 77