What is the answer to (x+5)/(x-4)=-2/x ?

The answer to (x+5)/(x-4)=-2/x is x=1,x=-8

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(x+5)/(x-4)=-2/x

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

x = 1, x = - 8

Solution steps

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

Cross multiply

(x + 5) x = - (x - 4) \cdot 2

Solve

(x + 5) x = - (x - 4) \cdot 2 : x = 1, x = - 8

x = 1, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = 1, x = - 8

16.1 = (1.8 - 1) \cdot \frac{2}{x}

x - \frac{8}{x - 4} = 11

y, x = \frac{5 y + 1}{2 y - 3}

\frac{x}{2 x - 4} - 5 = \frac{1}{x - 2}

\frac{2 x}{x + 1} = 2 - \frac{5}{2 x}

What is the answer to (x+5)/(x-4)=-2/x ?
The answer to (x+5)/(x-4)=-2/x is x=1,x=-8
Solve for x: (x+5)/(x-4)=-2/x
The solution is x=1,x=-8