What is the answer to 3/x =1+(x-13)/6 ?

The answer to 3/x =1+(x-13)/6 is x=9,x=-2

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3/x =1+(x-13)/6

\frac{3}{x} = 1 + \frac{x - 13}{6}

x = 9, x = - 2

Solution steps

\frac{3}{x} = 1 + \frac{x - 13}{6}

Multiply by LCM

18 = 6 x + x (x - 13)

Solve

18 = 6 x + x (x - 13) : x = 9, x = - 2

x = 9, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 9, x = - 2

3 x - 1 = 5 x + (\frac{2}{x}) - 2

0 = \frac{1}{x}

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

\frac{10}{x + 2} = 5

m, \frac{n + 5}{m} = 6

What is the answer to 3/x =1+(x-13)/6 ?
The answer to 3/x =1+(x-13)/6 is x=9,x=-2
Solve for x: 3/x =1+(x-13)/6
The solution is x=9,x=-2