What is the answer to 1/(x+5)= 4/(x-5) ?

The answer to 1/(x+5)= 4/(x-5) is x=-25/3

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1/(x+5)= 4/(x-5)

\frac{1}{x + 5} = \frac{4}{x - 5}

x = - \frac{25}{3}

Solution steps

\frac{1}{x + 5} = \frac{4}{x - 5}

Cross multiply

x - 5 = 4 x + 20

Move

5

to the right side

x = 4 x + 25

Move

4 x

to the left side

- 3 x = 25

Divide both sides by

- 3

x = - \frac{25}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 5

Combine undefined points with solutions:

x = - \frac{25}{3}

\frac{x + 1}{x + 2} = \frac{6}{8}

\frac{7}{4} = \frac{2}{k - 5}

\frac{x + 4}{2} - \frac{2 x - 2}{x} = 1

3 π = \frac{2 π}{b}

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

What is the answer to 1/(x+5)= 4/(x-5) ?
The answer to 1/(x+5)= 4/(x-5) is x=-25/3
Solve for x: 1/(x+5)= 4/(x-5)
The solution is x=-25/3