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

The answer to 3/(x-6)= 1/x is x=-3

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3/(x-6)= 1/x

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

x = - 3

Solution steps

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

Cross multiply

3 x = x - 6

Move

x

to the left side

2 x = - 6

Divide both sides by

2

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = - 3

t, I = \frac{q}{t}

20 x - 9 = \frac{20}{x}

\frac{1}{x} = 0.4

\frac{180 ( n - 2 )}{n} = 12

\frac{1}{x + 1} + \frac{1}{x + 2} = 0