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

The answer to (x+7)/(x-2)= 2/x is x=-1,x=-4

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(x+7)/(x-2)= 2/x

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

x = - 1, x = - 4

Solution steps

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

Cross multiply

(x + 7) x = (x - 2) \cdot 2

Solve

(x + 7) x = (x - 2) \cdot 2 : x = - 1, x = - 4

x = - 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = - 1, x = - 4

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

5 - 2 x = \frac{4}{x}

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

\frac{3}{5 x + 1} = \frac{6}{10}

n, \frac{m + 3}{n} = p

What is the answer to (x+7)/(x-2)= 2/x ?
The answer to (x+7)/(x-2)= 2/x is x=-1,x=-4
Solve for x: (x+7)/(x-2)= 2/x
The solution is x=-1,x=-4