What is the answer to 1/(x+2)=(x-2)/5 ?

The answer to 1/(x+2)=(x-2)/5 is x=3,x=-3

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1/(x+2)=(x-2)/5

\frac{1}{x + 2} = \frac{x - 2}{5}

x = 3, x = - 3

Solution steps

\frac{1}{x + 2} = \frac{x - 2}{5}

Cross multiply

5 = (x + 2) (x - 2)

Solve

5 = (x + 2) (x - 2) : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 3, x = - 3

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

2 x + \frac{7}{x + 6} = 3 x

8 + \frac{x}{x - 9} = \frac{9}{x - 9}

2 x + 4 = \frac{20}{x} - 2

\frac{4}{x + 3} - \frac{3}{x - 3} = \frac{7}{3}

What is the answer to 1/(x+2)=(x-2)/5 ?
The answer to 1/(x+2)=(x-2)/5 is x=3,x=-3
Solve for x: 1/(x+2)=(x-2)/5
The solution is x=3,x=-3