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

The answer to (x-2)/x =(x-4)/(x-6) is x=3

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

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

x = 3

Solution steps

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

Cross multiply

x^{2} - 8 x + 12 = x^{2} - 4 x

Move

12

to the right side

x^{2} - 8 x = x^{2} - 4 x - 12

Subtract

x^{2} - 4 x

from both sides

x^{2} - 8 x - (x^{2} - 4 x) = x^{2} - 4 x - 12 - (x^{2} - 4 x)

Simplify

- 4 x = - 12

Divide both sides by

- 4

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 6

Combine undefined points with solutions:

x = 3

\frac{3}{8} = \frac{6 w - 7}{2 w + 14}

0 = \frac{x}{x ^{2} - 16}

\frac{11}{3 z + 2} = \frac{1}{4}

\frac{9}{x} = \frac{1}{3 x} + 1

\frac{3}{x - 1} = \frac{2}{5}

What is the answer to (x-2)/x =(x-4)/(x-6) ?
The answer to (x-2)/x =(x-4)/(x-6) is x=3
Solve for x: (x-2)/x =(x-4)/(x-6)
The solution is x=3