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

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

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

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

x = 6, x = 2

Solution steps

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

Cross multiply

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

Solve

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

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = 2

\frac{7}{9} = \frac{4}{x}

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

\frac{1}{27} = b^{- 3}

\frac{5}{x} = \frac{15}{27}

\frac{3}{7 x} - \frac{5}{x} = 3

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