What is the answer to 1/x+1/(x+5)= 1/6 ?

The answer to 1/x+1/(x+5)= 1/6 is x=10,x=-3

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1/x+1/(x+5)= 1/6

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

x = 10, x = - 3

Solution steps

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6}

Multiply by LCM

6 (x + 5) + 6 x = x (x + 5)

Solve

6 (x + 5) + 6 x = x (x + 5) : x = 10, x = - 3

x = 10, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = 10, x = - 3

\frac{600}{300 + x} = \frac{400}{300 - x}

\frac{3}{4 ( 2 x - 3 )} = 1

1 - \frac{3}{x} = 0

b, \frac{d}{b} = (\frac{n}{q})^{3}

y, \frac{1}{x} + \frac{3}{y + 1} = \frac{5}{4}

What is the answer to 1/x+1/(x+5)= 1/6 ?
The answer to 1/x+1/(x+5)= 1/6 is x=10,x=-3
Solve for x: 1/x+1/(x+5)= 1/6
The solution is x=10,x=-3