What is the answer to (2x-6)/x =(x-2)/4 ?

The answer to (2x-6)/x =(x-2)/4 is x=6,x=4

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(2x-6)/x =(x-2)/4

\frac{2 x - 6}{x} = \frac{x - 2}{4}

x = 6, x = 4

Solution steps

\frac{2 x - 6}{x} = \frac{x - 2}{4}

Cross multiply

(2 x - 6) \cdot 4 = x (x - 2)

Solve

(2 x - 6) \cdot 4 = x (x - 2) : x = 6, x = 4

x = 6, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = 4

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

\frac{6}{x} = \frac{3}{5}

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

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

\frac{1}{x + 1} + 5 = \frac{16}{x + 1}

What is the answer to (2x-6)/x =(x-2)/4 ?
The answer to (2x-6)/x =(x-2)/4 is x=6,x=4
Solve for x: (2x-6)/x =(x-2)/4
The solution is x=6,x=4