What is the answer to 3/(x-4)=(x-5)/x ?

The answer to 3/(x-4)=(x-5)/x is x=10,x=2

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3/(x-4)=(x-5)/x

\frac{3}{x - 4} = \frac{x - 5}{x}

x = 10, x = 2

Solution steps

\frac{3}{x - 4} = \frac{x - 5}{x}

Cross multiply

3 x = (x - 4) (x - 5)

Solve

3 x = (x - 4) (x - 5) : x = 10, x = 2

x = 10, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = 10, x = 2

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

\frac{2 x + 1}{x ^{2} + x + 1} = 0

\frac{1}{4} + \frac{1}{x} = \frac{1}{2 x}

\frac{8 x - 1}{x + 1} - \frac{7}{8 x} = 8

\frac{a x + b}{c x + d}

What is the answer to 3/(x-4)=(x-5)/x ?
The answer to 3/(x-4)=(x-5)/x is x=10,x=2
Solve for x: 3/(x-4)=(x-5)/x
The solution is x=10,x=2