What is the answer to (2x-6)/x =(x-3)/3 ?

The answer to (2x-6)/x =(x-3)/3 is x=3,x=6

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(2x-6)/x =(x-3)/3

\frac{2 x - 6}{x} = \frac{x - 3}{3}

x = 3, x = 6

Solution steps

\frac{2 x - 6}{x} = \frac{x - 3}{3}

Cross multiply

(2 x - 6) \cdot 3 = x (x - 3)

Solve

(2 x - 6) \cdot 3 = x (x - 3) : x = 3, x = 6

x = 3, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = 6

\frac{1}{x} + 5 = \frac{1}{2 x}

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

\frac{8}{x + 2} = \frac{2}{x - 4}

x, y = \frac{4 x - 1}{2 x + 3}

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

What is the answer to (2x-6)/x =(x-3)/3 ?
The answer to (2x-6)/x =(x-3)/3 is x=3,x=6
Solve for x: (2x-6)/x =(x-3)/3
The solution is x=3,x=6