What is the answer to (x+2)/(x-6)=-5/x ?

The answer to (x+2)/(x-6)=-5/x is x=3,x=-10

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(x+2)/(x-6)=-5/x

\frac{x + 2}{x - 6} = - \frac{5}{x}

x = 3, x = - 10

Solution steps

\frac{x + 2}{x - 6} = - \frac{5}{x}

Cross multiply

(x + 2) x = - (x - 6) \cdot 5

Solve

(x + 2) x = - (x - 6) \cdot 5 : x = 3, x = - 10

x = 3, x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 3, x = - 10

\frac{z ^{2} - 2 z - 4}{z} = 1

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

\frac{x - 6}{4 x} + 1 = \frac{x + 3}{x}

\frac{16}{x ^{2}} = \frac{50}{4}

\frac{4}{x} = \frac{5}{12 - x}

What is the answer to (x+2)/(x-6)=-5/x ?
The answer to (x+2)/(x-6)=-5/x is x=3,x=-10
Solve for x: (x+2)/(x-6)=-5/x
The solution is x=3,x=-10