What is the answer to 1/(x-6)= 3/(12x) ?

The answer to 1/(x-6)= 3/(12x) is x=-2

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1/(x-6)= 3/(12x)

\frac{1}{x - 6} = \frac{3}{12 x}

x = - 2

Solution steps

\frac{1}{x - 6} = \frac{3}{12 x}

Cross multiply

4 x = x - 6

Move

x

to the left side

3 x = - 6

Divide both sides by

3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = - 2

\frac{- x}{3 - x} = \frac{5}{12}

\frac{x}{- 2 ( x + 3 )} = - 2 x - 6

\frac{1}{v + 6} = 4

3 = x^{- 1}

\frac{2 x ^{2} + 8 x}{3 x + 12} = - 4