What is the answer to (x+8)/(x-2)= 3/x ?

The answer to (x+8)/(x-2)= 3/x is x=-2,x=-3

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(x+8)/(x-2)= 3/x

\frac{x + 8}{x - 2} = \frac{3}{x}

x = - 2, x = - 3

Solution steps

\frac{x + 8}{x - 2} = \frac{3}{x}

Cross multiply

(x + 8) x = (x - 2) \cdot 3

Solve

(x + 8) x = (x - 2) \cdot 3 : x = - 2, x = - 3

x = - 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = - 2, x = - 3

x, t^{2} = b - \frac{n}{x}

\frac{n}{3 n + 2} + 1 = \frac{4}{n - 2}

\frac{30}{23} = \frac{120}{c}

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

28 x - 33 = \frac{28}{x}

What is the answer to (x+8)/(x-2)= 3/x ?
The answer to (x+8)/(x-2)= 3/x is x=-2,x=-3
Solve for x: (x+8)/(x-2)= 3/x
The solution is x=-2,x=-3