What is the answer to (x+8)/(x+4)= 6/x ?

The answer to (x+8)/(x+4)= 6/x is x=4,x=-6

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(x+8)/(x+4)= 6/x

\frac{x + 8}{x + 4} = \frac{6}{x}

x = 4, x = - 6

Solution steps

\frac{x + 8}{x + 4} = \frac{6}{x}

Cross multiply

(x + 8) x = (x + 4) \cdot 6

Solve

(x + 8) x = (x + 4) \cdot 6 : x = 4, x = - 6

x = 4, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = 4, x = - 6

x, \frac{9}{7 x} + 8 = 80

4 x + \frac{7}{x} = 3

\frac{x}{15} = \frac{5}{3 x}

\frac{18}{x - 2} = \frac{4}{3}

\frac{39}{x + 21} = \frac{49}{13}

What is the answer to (x+8)/(x+4)= 6/x ?
The answer to (x+8)/(x+4)= 6/x is x=4,x=-6
Solve for x: (x+8)/(x+4)= 6/x
The solution is x=4,x=-6