What is the answer to 2/(x-7)= 1/x ?

The answer to 2/(x-7)= 1/x is x=-7

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2/(x-7)= 1/x

\frac{2}{x - 7} = \frac{1}{x}

x = - 7

Solution steps

\frac{2}{x - 7} = \frac{1}{x}

Cross multiply

2 x = x - 7

Move

x

to the left side

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 7, x = 0

Combine undefined points with solutions:

x = - 7

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

\frac{2}{( x + 2 ) ^{2}} = 0

\frac{11.5}{- 6.5} = \frac{9}{x}

\frac{5}{6 - r} = 4

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